At a market, the ratio of mangosteens to grapefruits was 7 : 10. After Risa bought three-fifths of the grapefruits, there was a total of 88 mangosteens and grapefruits left at the market. How many fruits were there at first?
|
Mangosteens |
Grapefruits |
Total |
Comparing mangosteens and grapefruits at first |
7x1 = 7 u |
10x1 = 10 u |
17 u |
Before |
|
5x2 = 10 u |
|
Change |
|
- 3x2 = - 6 u |
|
After |
7 u |
2x2 = 4 u |
88 |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 10 and 5 is 10.
Total number of fruits left
= 7 u + 4 u
= 11 u
11 u = 88
1 u = 88 ÷ 11 = 8
Number of fruits at first
= 7 u + 10 u
= 17 u
= 17 x 8
= 136
Answer(s): 136