Luke had mangoes and pears. The ratio of mangoes to pears was 3 : 2. After
45 of the mangoes and 54 pears were sold, there were 3 times as many mangoes as pears left. How many mangoes and pears were sold?
| |
Mangoes |
Pears |
Comparing mangoes
and pears at first |
3x5 =
15 u |
2x5 =
10 u |
| Before |
5x3 =
15 u |
|
| Change |
- 4x3 =
- 12 u |
- 54 |
| After |
1x3 =
3 u |
|
Comparing mangoes
and pears in the end |
3 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 3 and 5 is 15.
Number of pears sold
= 10 u - 1 u
= 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of mangoes and pears sold
= 12 u + 54
= 12 x 6 + 54
= 72 + 54
= 126
Answer(s): 126
