Tommy had mangosteens and mangoes. The ratio of mangosteens to mangoes was 7 : 3. After
45 of the mangosteens and 140 mangoes were sold, there were 7 times as many mangosteens as mangoes left. How many mangosteens and mangoes were sold?
| |
Mangosteens |
Mangoes |
Comparing mangosteens
and mangoes at first |
7x5 =
35 u |
3x5 =
15 u |
| Before |
5x7 =
35 u |
|
| Change |
- 4x7 =
- 28 u |
- 140 |
| After |
1x7 =
7 u |
|
Comparing mangosteens
and mangoes in the end |
7 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 7 and 5 is 35.
Number of mangoes sold
= 15 u - 1 u
= 14 u
14 u = 140
1 u = 140 ÷ 14 = 10
Number of mangosteens and mangoes sold
= 28 u + 140
= 28 x 10 + 140
= 280 + 140
= 420
Answer(s): 420
