Ken had grapefruits and apples. The ratio of grapefruits to apples was 8 : 3. After
45 of the grapefruits and 28 apples were sold, there were 8 times as many grapefruits as apples left. How many grapefruits and apples were sold?
|
Grapefruits |
Apples |
Comparing grapefruits and apples at first |
8x5 = 40 u |
3x5 = 15 u |
Before |
5x8 = 40 u |
|
Change |
- 4x8 = - 32 u |
- 28 |
After |
1x8 = 8 u |
|
Comparing grapefruits and apples in the end |
8 u |
1 u |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 8 and 5 is 40.
Number of apples sold
= 15 u - 1 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Number of grapefruits and apples sold
= 32 u + 28
= 32 x 2 + 28
= 64 + 28
= 92
Answer(s): 92