The ratio of the number of green stickers to blue stickers is 3 : 1.
After Adam buys another 50 green stickers and 70 blue stickers,
the ratio becomes of the number of green stickers to blue stickers is 5 : 3.
How many stickers does Adam have now?
|
Make p the same (1) x 3 = (3) |
(1) Green |
(2) Blue |
Make p the same (2) x 5 = (4) |
Before |
9 u |
3 u |
1 u |
5 u |
Change |
+ 150 |
+ 50 |
+ 70 |
+ 350 |
After |
9 u + 150 |
3 u + 50 |
1 u + 70 |
5 u + 350 |
Comparing the green stickers and the blue stickers in the end |
15 p |
5 p |
3 p |
15 p |
3 u + 50 = 5 p --- (1)
1 u + 70 = 3 p --- (2)
Make p the same by using the LCM of 3 and 5.
LCM of 3 and 5 is 15.
(1)
x 3 9 u + 150 = 15 p --- (3)
(2)
x 5 5 u + 350 = 15 p --- (4)
(3) = (4)
9 u + 150 = 5 u + 350
9 u - 5 u = 350 - 150
4 u = 200
1 u = 200 ÷ 4 = 50
Number of stickers that Adam has now
= 3 u + 50 + 1 u + 70
= 3 u + 1 u + 50 + 70
= 4 u + 120
= 4 x 50 + 120
= 200 + 120
= 320
Answer(s): 320