Seth had mangosteens and mangoes. The ratio of mangosteens to mangoes was 9 : 2. After
12 of the mangosteens and 15 mangoes were sold, there were 9 times as many mangosteens as mangoes left. How many mangosteens and mangoes were there at first?
| |
Mangosteens |
Mangoes |
Comparing mangosteens
and mangoes at first |
9x2 =
18 u |
2x2 =
4 u |
| Before |
2x9 =
18 u |
|
| Change |
- 1x9 =
- 9 u |
- 15 |
| After |
1x9 =
9 u |
|
Comparing mangosteens
and mangoes in the end |
9 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 9 and 2 is 18.
Number of mangoes sold
= 4 u - 1 u
= 3 u
3 u = 15
1 u = 15 ÷ 3 = 5
Number of mangosteens and mangoes at first
= 18 u + 4 u
= 22 u
= 22 x 5
= 110
Answer(s): 110
