Daniel had mangosteens and pomegranates. The ratio of mangosteens to pomegranates was 7 : 2. After
12 of the mangosteens and 12 pomegranates were sold, there were 7 times as many mangosteens as pomegranates left. How many mangosteens and pomegranates were sold?
| |
Mangosteens |
Pomegranates |
Comparing mangosteens
and pomegranates at first |
7x2 =
14 u |
2x2 =
4 u |
| Before |
2x7 =
14 u |
|
| Change |
- 1x7 =
- 7 u |
- 12 |
| After |
1x7 =
7 u |
|
Comparing mangosteens
and pomegranates 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 pomegranates sold
= 4 u - 1 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Number of mangosteens and pomegranates sold
= 7 u + 12
= 7 x 4 + 12
= 28 + 12
= 40
Answer(s): 40
