At a shop, the ratio of grapefruits to mangosteens was 5 : 12. After Julie bought three-quarters of the mangosteens, there was a total of 56 grapefruits and mangosteens left at the shop. How many fruits were there at first?
| |
Grapefruits |
Mangosteens |
Total |
Comparing grapefruits
and mangosteens at first |
5x1 =
5 u |
12x1 =
12 u |
17 u |
Before |
|
4x3 =
12 u |
|
Change |
|
- 3x3 =
- 9 u |
|
After |
5 u |
1x3 =
3 u |
56 |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 12 and 4 is 12.
Total number of fruits left
= 5 u + 3 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Number of fruits at first
= 5 u + 12 u
= 17 u
= 17 x 7
= 119
Answer(s): 119
