A store owner had the same number of dragonfruits, mangoes and grapefruits at first. After 46 grapefruits, some dragonfruits and mangoes were set aside, there were 148 fruits left. There were four times as many dragonfruits as mangoes left. The number of grapefruits left was 32 less than the number of dragonfruits. How many mangoes were set aside?
| |
Dragonfruits |
Mangoes |
Grapefruits |
Total |
| Before |
1 |
1 |
1 |
|
| Change |
- ? |
- ? |
- 46 |
|
| After |
4 u |
1 u |
4 u - 32 |
148 |
Total number of fruits in the end
= 4 u + 1 u + 4 u - 32
= 9 u - 32
9 u - 32 = 148
9 u = 148 + 32
9 u = 180
1 u = 180 ÷ 9 = 20
Number of grapefruits at first
= 4 u - 32 + 46
= 4 x 20 - 32 + 46
= 80 - 32 + 46
= 94
The number of mangoes and grapefruits at first was the same.
Number of mangoes set aside
= 94 - 1 u
= 94 - 20
= 74
Answer(s): 74
