Xavier had peaches and lemons. The ratio of peaches to lemons was 9 : 5. After
45 of the peaches and 240 lemons were sold, there were 9 times as many peaches as lemons left. How many peaches and lemons were there at first?
| |
Peaches |
Lemons |
Comparing peaches
and lemons at first |
9x5 =
45 u |
5x5 =
25 u |
| Before |
5x9 =
45 u |
|
| Change |
- 4x9 =
- 36 u |
- 240 |
| After |
1x9 =
9 u |
|
Comparing peaches
and lemons in the end |
9 u |
1 u |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 9 and 5 is 45.
Number of lemons sold
= 25 u - 1 u
= 24 u
24 u = 240
1 u = 240 ÷ 24 = 10
Number of peaches and lemons at first
= 45 u + 25 u
= 70 u
= 70 x 10
= 700
Answer(s): 700
