The ratio of peaches to persimmons is 2 : 7. If 150 persimmons are added, the ratio of peaches to persimmons will be 1 : 11. How many peaches are there?
| |
Peaches |
Persimmons |
| Before |
2x1 =
2 u |
7x1 =
7 u |
| Change |
|
+ 150 |
| After |
1x2 =
2 u |
11x2 =
22 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 2 and 1 is 2.
Number of persimmons added
= 22 u - 7 u
= 15 u
15 u = 150
1 u = 150 ÷ 15 = 10
Number of peaches
= 2 u
= 2 x 10
= 20
Answer(s): 20
