The ratio of pears to persimmons is 3 : 8. If 143 persimmons are added, the ratio of pears to persimmons will be 1 : 7. How many pears are there?
| |
Pears |
Persimmons |
| Before |
3x1 =
3 u |
8x1 =
8 u |
| Change |
|
+ 143 |
| After |
1x3 =
3 u |
7x3 =
21 u |
The number of pears at first and in the end remains unchanged. Make the number of pears at first and in the end the same. LCM of 3 and 1 is 3.
Number of persimmons added
= 21 u - 8 u
= 13 u
13 u = 143
1 u = 143 ÷ 13 = 11
Number of pears
= 3 u
= 3 x 11
= 33
Answer(s): 33
