Caden had mangosteens and starfruits. The ratio of mangosteens to starfruits was 7 : 5. After
12 of the mangosteens and 18 starfruits were sold, there were 7 times as many mangosteens as starfruits left. How many mangosteens and starfruits were sold?
| |
Mangosteens |
Starfruits |
Comparing mangosteens
and starfruits at first |
7x2 =
14 u |
5x2 =
10 u |
| Before |
2x7 =
14 u |
|
| Change |
- 1x7 =
- 7 u |
- 18 |
| After |
1x7 =
7 u |
|
Comparing mangosteens
and starfruits in the end |
7 u |
1 u |
The number of mangosteens at first is repeated. Make the number of mangosteens at first the same. LCM of 7 and 2 is 14.
Number of starfruits sold
= 10 u - 1 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Number of mangosteens and starfruits sold
= 7 u + 18
= 7 x 2 + 18
= 14 + 18
= 32
Answer(s): 32
