Billy had mangoes and mangosteens. The ratio of mangoes to mangosteens was 3 : 2. After
14 of the mangoes and 63 mangosteens were sold, there were 9 times as many mangoes as mangosteens left. How many mangoes and mangosteens were sold?
| |
Mangoes |
Mangosteens |
Comparing mangoes
and mangosteens at first |
3x4 =
12 u |
2x4 =
8 u |
| Before |
4x3 =
12 u |
|
| Change |
- 1x3 =
- 3 u |
- 63 |
| After |
3x3 =
9 u |
|
Comparing mangoes
and mangosteens in the end |
9 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 3 and 4 is 12.
Number of mangosteens sold
= 8 u - 1 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Number of mangoes and mangosteens sold
= 3 u + 63
= 3 x 9 + 63
= 27 + 63
= 90
Answer(s): 90
