The ratio of peaches to mangosteens is 3 : 8. If 176 mangosteens are added, the ratio of peaches to mangosteens will be 1 : 8. How many peaches are there?
|
Peaches |
Mangosteens |
Before |
3x1 = 3 u |
8x1 = 8 u |
Change |
|
+ 176 |
After |
1x3 = 3 u |
8x3 = 24 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 mangosteens added
= 24 u - 8 u
= 16 u
16 u = 176
1 u = 176 ÷ 16 = 11
Number of peaches
= 3 u
= 3 x 11
= 33
Answer(s): 33