2. Example Pr ob l em
Nonette ca n fin ish re adi n g
a novel in 3 d a ys . How m an y
novels can s h e fin i s h i n on e
month if th er e a re 30 day s
in that mon th ?
3. Solution:
The probl em ca n be s olv e d by
using a pr op or tion .
novel: days =n ovel : d ay s
Given:
1:3 = n: 30
4. Solution:
The miss in g term can be
determined b y ge tti n g th e
product of th e m e an s an d
extremes.
6. Solution:
1 : 3 = n : 30
3 x n = 1 x 30
3n = 30
3n = 30 divide both sides by 3
3 3
n = 10
7. Solution:
Therefore, Non ette can fi n i s h
10 novels in 30 d ay s .
- We see th a t a s th e n um be r of
days incr ea s es from 3 to 30 ,
the number of n ov e ls re ad als o
increases fr om 1 -1 0 .
8. when ther e is a n i n cre as e i n
one quan tity a s th e oth e r
quantity in cr ea s es.
it also shows a d e cre as e i n
one qua n tity wh e n oth e r
quantity d ecr ea s es .
Direct Prop or tion
9. In sol vin g proble m s
involving d ir ect p roporti on ,
the mis s in g te rm i s
determined b y g e tti n g th e
product of th e e xtre m e s
and means .
Direct Prop or tion
12. Example:
7 x n = 28 x 5
7n = 140 divide both sides by 7
7 = 7
n = 20
13. Example:
56 x n = 8 x 21
56n = 168 divide both sides by 56
56 = 56
n = 3
14. n:6 = 48:4
n x 4 = 6 x 48
4n = 288 divide both sides by 4
4 = 4
n = 72
Example:
15. Example:
B. Sol ve th e follow i n g
problems .
4. Sandra ca n p ut 4 5 s ti cke rs
of 5 pages of h e r s crapbook.
How man y p a g e s doe s s h e
need for 1 44?
16. Solution:
Write the Pr op or tion :
stickers: p a g es =s ti cke rs : page s
45 : 5 = 14 4 : n
45 x n = 5 x 144
45n = 720 divide both sides by 45
45 = 45
n = 16
17. Example:
5. The cos t of 6 cupcake s i s
₱80. How ma n y cupcake s w i ll
cost ₱300?
18. Solution:
Write the Pr op or tion :
cupcakes : cos t=cup cake s : cos t
6 : 80 = n : 300
80 x n = 6 x 300
80n = 1800 divide both sides by 80
80 = 80
n = or 22.5
19. Example:
6. If you ca n s a v e ₱ 25 i n 5
days, how much w i ll be y our
savings for 20 d a ys ?
20. Solution:
Write the Pr op or tion :
savings: da ys =s a vi n gs : day s
25 : 5 = n : 20
5 x n = 25 x 20
5n = 500 divide both sides by 5
5 = 5
n = 100
21. Solve the p r ob l em .
6. Five wor k er s can w e av e 1 5
baskets in a d a y. How m an y
workers ca n wea ve 4 8 bas ke ts
in a day?
22. Solution:
Write the Proportion:
no. of workers :no. of baskets in a day =
no. of workers :no. of baskets in a day
5 : 15 = n : 48
5 x 48 = 15 x n
240 = 15n divide both sides by 15
15 = 15
n = 16
23. Solve the p r ob l em .
7. A pole ca s t a s h adow of 1 8
m while a 3-m p os t cas ts a
shadow of 9 m. How h i gh i s th e
pole?
24. S o l u t i o n :
Wr i t e t h e P r o p o r t i o n :
h e i g h t o f t h e p o l e : h e i g h t o f s h a d o w
= h e i g h t o f t h e p o l e : h e i g h t o f s h a d o w
n : 1 8 = 3 : 9
n x 9 = 18 x 3
9n = 54 divide both sides by 9
9 = 9
n = 6
