The ratio of Nathan's stickers to Matthew's stickers at first was 3 : 7. After Nathan gave Matthew 112 stickers, the ratio of Nathan's stickers to Matthew's stickers is 1 : 3. What was the number of stickers they had in total?
|
Nathan |
Matthew |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u
|
10x4 = 40 u |
Change |
- 112 |
+ 112 |
|
After |
1x10 = 10 u |
3x10 = 30 u |
4x10 = 40 u |
Number of stickers that Nathan gave Matthew
= 12 u - 10 u
= 2 u
2 u = 112
1 u = 112 ÷ 2 = 56
Total number of stickers that they had
= 40 u
= 40 x 56
= 2240
Answer(s): 2240