George had starfruits and mangoes. The ratio of starfruits to mangoes was 7 : 4. After
12 of the starfruits and 42 mangoes were sold, there were 7 times as many starfruits as mangoes left. How many starfruits and mangoes were sold?
| |
Starfruits |
Mangoes |
Comparing starfruits
and mangoes at first |
7x2 =
14 u |
4x2 =
8 u |
| Before |
2x7 =
14 u |
|
| Change |
- 1x7 =
- 7 u |
- 42 |
| After |
1x7 =
7 u |
|
Comparing starfruits
and mangoes in the end |
7 u |
1 u |
The number of starfruits at first is repeated. Make the number of starfruits at first the same. LCM of 7 and 2 is 14.
Number of mangoes sold
= 8 u - 1 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Number of starfruits and mangoes sold
= 7 u + 42
= 7 x 6 + 42
= 42 + 42
= 84
Answer(s): 84
