The ratio of the number of mandarin oranges to the number of mangosteens that a fruit seller had was 2 : 5. After he sold one third of the mangosteens, there were a total of 160 mandarin oranges and mangosteens left at the stall.
- How many mandarin oranges were there at the stall?
- If he sold the remaining mangosteens in bags of 5 at $8.60 per bag, how much would he receive for them?
(a)
|
Mandarin Oranges |
Mangosteens |
Total |
Before |
2x3 = 6 u
|
5x3 = 15 u |
|
Change |
|
- 5 u |
|
After |
6 u |
10 u |
160 |
The total number of mangosteens at first is the repeated identity.
LCM of 5 and 3 = 15
6 u + 10 u = 16 u
16 u = 160
1 u = 160 ÷ 16 = 10
Number of mandarin oranges in the stall
= 6 u
= 6 x 10
= 60
(b)
Number of mangosteens left
= 10 u
= 10 x 10
= 100
Number of bags
= 100 ÷ 5
= 20
Amount that he would receive
= 20 x 8.60
= $172
Answer(s): (a) 60; (b) $172