The ratio of peaches to mangosteens is 3 : 4. If 300 mangosteens are added, the ratio of peaches to mangosteens will be 2 : 11. How many peaches are there?
| |
Peaches |
Mangosteens |
| Before |
3x2 =
6 u |
4x2 =
8 u |
| Change |
|
+ 300 |
| After |
2x3 =
6 u |
11x3 =
33 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 2 is 6.
Number of mangosteens added
= 33 u - 8 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
Number of peaches
= 6 u
= 6 x 12
= 72
Answer(s): 72
