Dylan had dragonfruits and kiwis. The ratio of dragonfruits to kiwis was 9 : 7. After
45 of the dragonfruits and 272 kiwis were sold, there were 9 times as many dragonfruits as kiwis left. How many dragonfruits and kiwis were sold?
| |
Dragonfruits |
Kiwis |
Comparing dragonfruits
and kiwis at first |
9x5 =
45 u |
7x5 =
35 u |
| Before |
5x9 =
45 u |
|
| Change |
- 4x9 =
- 36 u |
- 272 |
| After |
1x9 =
9 u |
|
Comparing dragonfruits
and kiwis in the end |
9 u |
1 u |
The number of dragonfruits at first is repeated. Make the number of dragonfruits at first the same. LCM of 9 and 5 is 45.
Number of kiwis sold
= 35 u - 1 u
= 34 u
34 u = 272
1 u = 272 ÷ 34 = 8
Number of dragonfruits and kiwis sold
= 36 u + 272
= 36 x 8 + 272
= 288 + 272
= 560
Answer(s): 560
