The ratio of the number of coconuts to the number of mangosteens that a fruit seller had was 3 : 10. After he sold one quarter of the mangosteens, there were a total of 294 coconuts and mangosteens left at the market.
- How many coconuts were there at the market?
- If he sold the remaining mangosteens in bags of 7 at $2.40 per bag, how much would he receive for them?
(a)
|
Coconuts |
Mangosteens |
Total |
Before |
3x4 = 12 u
|
10x4 = 40 u |
|
Change |
|
- 10 u |
|
After |
12 u |
30 u |
294 |
The total number of mangosteens at first is the repeated identity.
LCM of 10 and 4 = 40
12 u + 30 u = 42 u
42 u = 294
1 u = 294 ÷ 42 = 7
Number of coconuts in the stall
= 12 u
= 12 x 7
= 84
(b)
Number of mangosteens left
= 30 u
= 30 x 7
= 210
Number of bags
= 210 ÷ 7
= 30
Amount that he would receive
= 30 x 2.40
= $72
Answer(s): (a) 84; (b) $72