Liam had peaches and mangoes. The ratio of peaches to mangoes was 7 : 6. After
45 of the peaches and 290 mangoes were sold, there were 7 times as many peaches as mangoes left. How many peaches and mangoes were sold?
| |
Peaches |
Mangoes |
Comparing peaches
and mangoes at first |
7x5 =
35 u |
6x5 =
30 u |
| Before |
5x7 =
35 u |
|
| Change |
- 4x7 =
- 28 u |
- 290 |
| After |
1x7 =
7 u |
|
Comparing peaches
and mangoes in the end |
7 u |
1 u |
The number of peaches at first is repeated. Make the number of peaches at first the same. LCM of 7 and 5 is 35.
Number of mangoes sold
= 30 u - 1 u
= 29 u
29 u = 290
1 u = 290 ÷ 29 = 10
Number of peaches and mangoes sold
= 28 u + 290
= 28 x 10 + 290
= 280 + 290
= 570
Answer(s): 570
