The ratio of Oliver's erasers to Joshua's erasers at first was 3 : 7. After Oliver gave Joshua 46 erasers, the ratio of Oliver's erasers to Joshua's erasers is 1 : 3. What was the number of erasers they had in all?
|
Oliver |
Joshua |
Total |
Before |
3x4 = 12 u |
7x4 = 28 u
|
10x4 = 40 u |
Change |
- 46 |
+ 46 |
|
After |
1x10 = 10 u |
3x10 = 30 u |
4x10 = 40 u |
Number of erasers that Oliver gave Joshua
= 12 u - 10 u
= 2 u
2 u = 46
1 u = 46 ÷ 2 = 23
Total number of erasers that they had
= 40 u
= 40 x 23
= 920
Answer(s): 920