Justin had mangoes and pears. The ratio of mangoes to pears was 3 : 2. After
35 of the mangoes and 36 pears were sold, there were 6 times as many mangoes as pears left. How many mangoes and pears were there at first?
| |
Mangoes |
Pears |
Comparing mangoes
and pears at first |
3x5 =
15 u |
2x5 =
10 u |
| Before |
5x3 =
15 u |
|
| Change |
- 3x3 =
- 9 u |
- 36 |
| After |
2x3 =
6 u |
|
Comparing mangoes
and pears in the end |
6 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 = 36
1 u = 36 ÷ 9 = 4
Number of mangoes and pears at first
= 15 u + 10 u
= 25 u
= 25 x 4
= 100
Answer(s): 100
