Cole had grapefruits and apples. The ratio of grapefruits to apples was 8 : 7. After
14 of the grapefruits and 12 apples were sold, there were 6 times as many grapefruits as apples left. How many grapefruits and apples were there at first?
| |
Grapefruits |
Apples |
Comparing grapefruits
and apples at first |
8x1 =
8 u |
7x1 =
7 u |
| Before |
4x2 =
8 u |
|
| Change |
- 1x2 =
- 2 u |
- 12 |
| After |
3x2 =
6 u |
|
Comparing grapefruits
and apples in the end |
6 u |
1 u |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 8 and 4 is 8.
Number of apples sold
= 7 u - 1 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Number of grapefruits and apples at first
= 8 u + 7 u
= 15 u
= 15 x 2
= 30
Answer(s): 30
