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### Q3

1. 1. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  40% = 2/5 1 3 Adult 5 2 Total Children
2. 2. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  Women Men Total 3 1 4 40% = 2/5 1 3 Adult 5 2 Total Children
3. 3. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  Women Men Total 3 1 4 x3=12 40% = 2/5 1 3 x4=12 Adult 5 2 Total Children 2
4. 4. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  Women Men Total 3 x3=9 1 x3=3 4 x3=12 40% = 2/5 1 3 x4=12 Adult 5 x4=20 2 x4=8 Total Children 2
5. 5. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  Women Men Total 3 x3=9 1 x3=3 4 x3=12 40% = 2/5 Ans: 8:3:9 1 3 x4=12 Adult 5 x4=20 2 x4=8 Total Children 2
6. 6. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 1 2 3 3u Men 8u Children After Change 12u 9u Before Total (Men & Women) Women
7. 7. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 1 2 3 3u x5 =15u Men 8u x5 =40u Children After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women
8. 8. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 1 2 3 3u x5 =15u Men +8u 8u x5 =40u Children After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women
9. 9. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 1 2 3 3u x5 =15u Men 48u +8u 8u x5 =40u Children After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women
10. 10. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 1 2 3 2p 3u x5 =15u Men 48u +8u 8u x5 =40u Children 5p 3p After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women 4
11. 11. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 1 2 3 2px12 =24u 3u x5 =15u Men 48u +8u 8u x5 =40u Children 5px12 =60u 3px12 =36u After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women 4
12. 12. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 48u – 36u  336 1 2 3 2px12 =24u 3u x5 =15u Men 48u +8u 8u x5 =40u Children 5px12 =60u 3px12 =36u After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women 4 5
13. 13. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 48u – 36u  336 1u  336 ÷ 12 =28 1 2 3 2px12 =24u 3u x5 =15u Men 48u +8u 8u x5 =40u Children 5px12 =60u 3px12 =36u After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women 4 5
14. 14. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 48u – 36u  336 1u  336 ÷ 12 =28 48u + 36u + 24u  108u 1 2 3 2px12 =24u 3u x5 =15u Men 48u +8u 8u x5 =40u Children 5px12 =60u 3px12 =36u After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women 4 5
15. 15. <ul><li>There are some visitors in a museum. On the first day, 40% of the visitors are children and ¾ of the adults are women. (a)   What is the ratio of the number of children to the number of men to the number of women? (b)  On the second day, the number of children increased by 20%, the total number of adults remain the same but the number of women became 3/5 of the adult. If there are 336 more children than women, how many visitors are there on the second day? </li></ul>© mathsheuristics  20% = 1/5 48u – 36u  336 1u  336 ÷ 12 =28 48u + 36u + 24u  108u 108u  108 x 28 = 3024 Ans: 3024 visitors 1 2 3 2px12 =24u 3u x5 =15u Men 48u +8u 8u x5 =40u Children 5px12 =60u 3px12 =36u After Change 12u x5 =60u 9u x5 =45u Before Total (Men & Women) Women 4 5