The ratio of peaches to dragonfruits is 5 : 7. If 99 dragonfruits are added, the ratio of peaches to dragonfruits will be 1 : 8. How many peaches are there?
| |
Peaches |
Dragonfruits |
| Before |
5x1 =
5 u |
7x1 =
7 u |
| Change |
|
+ 99 |
| After |
1x5 =
5 u |
8x5 =
40 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 5 and 1 is 5.
Number of dragonfruits added
= 40 u - 7 u
= 33 u
33 u = 99
1 u = 99 ÷ 33 = 3
Number of peaches
= 5 u
= 5 x 3
= 15
Answer(s): 15
