The ratio of Amelia's erasers to Elizabeth's erasers at first was 3 : 5. After Amelia gave Elizabeth 92 erasers, the ratio of Amelia's erasers to Elizabeth's erasers is 1 : 3. What was the number of erasers they had in all?
|
Amelia |
Elizabeth |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 92 |
+ 92 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of erasers that Amelia gave Elizabeth
= 12 u - 8 u
= 4 u
4 u = 92
1 u = 92 ÷ 4 = 23
Total number of erasers that they had
= 32 u
= 32 x 23
= 736
Answer(s): 736