The ratio of pears to grapefruits is 2 : 7. If 14 grapefruits are added, the ratio of pears to grapefruits will be 2 : 9. How many less pears than grapefruits are there in the end?
| |
Pears |
Grapefruits |
| Before |
2 u |
7 u |
| Change |
|
+ 14 |
| After |
2 u |
9 u |
The number of pears at first and in the end remains unchanged.
Number of grapefruits added
= 9 u - 7 u
= 2 u
2 u = 14
1 u = 14 ÷ 2 = 7
Number of less pears than grapefruits in the end
= 9 u - 2 u
= 7 u
= 7 x 7
= 49
Answer(s): 49
