The ratio of Nathan's stickers to Jonathan's stickers at first was 3 : 7. After Nathan gave Jonathan 86 stickers, the ratio of Nathan's stickers to Jonathan's stickers is 1 : 3. What was the number of stickers they had altogether?
|
Nathan |
Jonathan |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u
|
10x4 = 40 u |
Change |
- 86 |
+ 86 |
|
After |
1x10 = 10 u |
3x10 = 30 u |
4x10 = 40 u |
Number of stickers that Nathan gave Jonathan
= 12 u - 10 u
= 2 u
2 u = 86
1 u = 86 ÷ 2 = 43
Total number of stickers that they had
= 40 u
= 40 x 43
= 1720
Answer(s): 1720