Ivory and Mary have some staplers in the ratio 3 : 7. Ivory has 88 less staplers than Mary. How many staplers must Mary give to Ivory so that they will have the same number of staplers?
|
Ivory |
Mary |
Total |
Before |
3 u |
7 u |
10 u |
Change |
+ 2 u |
- 2 u |
|
After |
1x5 = 5 u |
1x5 = 5 u |
2x5 = 10 u |
The total number of staplers remains unchanged. Make the total number of staplers at first and in the end the same. LCM of 2 and 10 is 10.
Difference in the number of staplers at first
= 7 u - 3 u
= 4 u
4 u = 88
1 u = 88 ÷ 4 = 22
Number of staplers that each of them had in the end
= 10 u ÷ 2
= 5 u
Number of staplers that Mary must give to Ivory
= 5 u - 3 u
= 2 u
= 2 x 22
= 44
Answer(s): 44