The ratio of the number of mangosteens to the number of kiwis that a fruit seller had was 1 : 3. After he sold one third of the kiwis, there were a total of 45 mangosteens and kiwis left at the supermarket.
- How many mangosteens were there at the supermarket?
- If he sold the remaining kiwis in bags of 6 at $7.80 per bag, how much would he receive for them?
(a)
|
Mangosteens |
Kiwis |
Total |
Before |
1x3 = 3 u
|
3x3 = 9 u |
|
Change |
|
- 3 u |
|
After |
3 u |
6 u |
45 |
The total number of kiwis at first is the repeated identity.
LCM of 3 and 3 = 9
3 u + 6 u = 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Number of mangosteens in the stall
= 3 u
= 3 x 5
= 15
(b)
Number of kiwis left
= 6 u
= 6 x 5
= 30
Number of bags
= 30 ÷ 6
= 5
Amount that he would receive
= 5 x 7.80
= $39
Answer(s): (a) 15; (b) $39