Jenson had grapefruits and persimmons. The ratio of grapefruits to persimmons was 9 : 2. After
34 of the grapefruits and 35 persimmons were sold, there were 9 times as many grapefruits as persimmons left. How many grapefruits and persimmons were sold?
| |
Grapefruits |
Persimmons |
Comparing grapefruits
and persimmons at first |
9x4 =
36 u |
2x4 =
8 u |
| Before |
4x9 =
36 u |
|
| Change |
- 3x9 =
- 27 u |
- 35 |
| After |
1x9 =
9 u |
|
Comparing grapefruits
and persimmons in the end |
9 u |
1 u |
The number of grapefruits at first is repeated. Make the number of grapefruits at first the same. LCM of 9 and 4 is 36.
Number of persimmons sold
= 8 u - 1 u
= 7 u
7 u = 35
1 u = 35 ÷ 7 = 5
Number of grapefruits and persimmons sold
= 27 u + 35
= 27 x 5 + 35
= 135 + 35
= 170
Answer(s): 170
