The ratio of Grace's erasers to Joseph's erasers at first was 3 : 7. After Grace gave Joseph 30 erasers, the ratio of Grace's erasers to Joseph's erasers is 1 : 4. What was the number of erasers they had in all?
|
Grace |
Joseph |
Total |
Before |
3x5 = 15 u |
7x5 = 35 u
|
10x5 = 50 u |
Change |
- 30 |
+ 30 |
|
After |
1x10 = 10 u |
4x10 = 40 u |
5x10 = 50 u |
Number of erasers that Grace gave Joseph
= 15 u - 10 u
= 5 u
5 u = 30
1 u = 30 ÷ 5 = 6
Total number of erasers that they had
= 50 u
= 50 x 6
= 300
Answer(s): 300