Liam had mangoes and kiwis. The ratio of mangoes to kiwis was 9 : 2. After
45 of the mangoes and 18 kiwis were sold, there were 9 times as many mangoes as kiwis left. How many mangoes and kiwis were there at first?
| |
Mangoes |
Kiwis |
Comparing mangoes
and kiwis at first |
9x5 =
45 u |
2x5 =
10 u |
| Before |
5x9 =
45 u |
|
| Change |
- 4x9 =
- 36 u |
- 18 |
| After |
1x9 =
9 u |
|
Comparing mangoes
and kiwis in the end |
9 u |
1 u |
The number of mangoes at first is repeated. Make the number of mangoes at first the same. LCM of 9 and 5 is 45.
Number of kiwis sold
= 10 u - 1 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Number of mangoes and kiwis at first
= 45 u + 10 u
= 55 u
= 55 x 2
= 110
Answer(s): 110
