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Ratio parts
Created by Richard Bull
We use ratio’s all the time
If you were to go to a restaurant with a
friend, and he ordered twice as much food
as you, would you want to pay half the bill?
We can use ratio’s to share the bill
more fairly.
Total parts
Ratio = :
We can find total parts by adding + =
A man uses 3 cans of red paint for every 1 can of
blue, how many total parts?
1 2
1 2 3
Ratio = :3 1
total parts = 4
Each part
Ratio = :
Total parts =
If you found out the shape had a height of 50 cm, could we work
out the height of one part?
50cm ÷ total parts
1 4
5
50cm ÷ 5 = 10cm
Dividing an amount by a given ratio
 Patrick and Emily share £35 in the ratio 3:4
How much does each person get?
First we find the total number of parts: 3 + 4 = 7
Then we find what 1 part is worth: £35.00 ÷ 7 =
1 part = £
so
3 parts = £5 x3
4 parts = £5 x 4
So Patrick gets £ _____and Emily £ ______.
= 15
5
= 20
15 20
Dividing an amount by a given ratio
 Bill and Todd pay a bill of £80 in the ratio 3:2
How much does each pay?
total number of parts:
Then we find what 1 part is worth:
3 parts = £16 x3
2 parts = £16 x 4
So bill pays £ _____and Todd pays £ ______.
£80 ÷ total parts
£80 ÷ 5 = £16
= £48
= £64
= £48 = £64
 Divide £ 12 in the ratio 1:3
 60 km in the ratio 3:7
£ 45 in the ratio 7:2
Try yourself
Created by Richard Bull
£12 ÷ 4 = £3
1 x £3 = £3
3 x £3 = £9
60km ÷ 10 = 6km
6km x 3 = 18km
6km x 7 = 42km
£45 ÷ 9 = £5
£5 x 7 = £35
£5 x 2 = £10

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6c. find ratio parts

  • 1. Ratio parts Created by Richard Bull
  • 2. We use ratio’s all the time If you were to go to a restaurant with a friend, and he ordered twice as much food as you, would you want to pay half the bill? We can use ratio’s to share the bill more fairly.
  • 3. Total parts Ratio = : We can find total parts by adding + = A man uses 3 cans of red paint for every 1 can of blue, how many total parts? 1 2 1 2 3 Ratio = :3 1 total parts = 4
  • 4. Each part Ratio = : Total parts = If you found out the shape had a height of 50 cm, could we work out the height of one part? 50cm ÷ total parts 1 4 5 50cm ÷ 5 = 10cm
  • 5. Dividing an amount by a given ratio  Patrick and Emily share £35 in the ratio 3:4 How much does each person get? First we find the total number of parts: 3 + 4 = 7 Then we find what 1 part is worth: £35.00 ÷ 7 = 1 part = £ so 3 parts = £5 x3 4 parts = £5 x 4 So Patrick gets £ _____and Emily £ ______. = 15 5 = 20 15 20
  • 6. Dividing an amount by a given ratio  Bill and Todd pay a bill of £80 in the ratio 3:2 How much does each pay? total number of parts: Then we find what 1 part is worth: 3 parts = £16 x3 2 parts = £16 x 4 So bill pays £ _____and Todd pays £ ______. £80 ÷ total parts £80 ÷ 5 = £16 = £48 = £64 = £48 = £64
  • 7.  Divide £ 12 in the ratio 1:3  60 km in the ratio 3:7 £ 45 in the ratio 7:2 Try yourself Created by Richard Bull £12 ÷ 4 = £3 1 x £3 = £3 3 x £3 = £9 60km ÷ 10 = 6km 6km x 3 = 18km 6km x 7 = 42km £45 ÷ 9 = £5 £5 x 7 = £35 £5 x 2 = £10