The ratio of peaches to grapefruits is 3 : 4. If 32 grapefruits are added, the ratio of peaches to grapefruits will be 1 : 4. How many peaches are there?
| |
Peaches |
Grapefruits |
| Before |
3x1 =
3 u |
4x1 =
4 u |
| Change |
|
+ 32 |
| After |
1x3 =
3 u |
4x3 =
12 u |
The number of peaches at first and in the end remains unchanged. Make the number of peaches at first and in the end the same. LCM of 3 and 1 is 3.
Number of grapefruits added
= 12 u - 4 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Number of peaches
= 3 u
= 3 x 4
= 12
Answer(s): 12
