The ratio of the number of coconuts to the number of grapefruits that a fruit seller had was 3 : 8. After he sold one third of the grapefruits, there were a total of 225 coconuts and grapefruits left at the supermarket.
- How many coconuts were there at the supermarket?
- If he sold the remaining grapefruits in bags of 4 at $8.50 per bag, how much would he receive for them?
(a)
|
Coconuts |
Grapefruits |
Total |
Before |
3x3 = 9 u
|
8x3 = 24 u |
|
Change |
|
- 8 u |
|
After |
9 u |
16 u |
225 |
The total number of grapefruits at first is the repeated identity.
LCM of 8 and 3 = 24
9 u + 16 u = 25 u
25 u = 225
1 u = 225 ÷ 25 = 9
Number of coconuts in the stall
= 9 u
= 9 x 9
= 81
(b)
Number of grapefruits left
= 16 u
= 16 x 9
= 144
Number of bags
= 144 ÷ 4
= 36
Amount that he would receive
= 36 x 8.50
= $306
Answer(s): (a) 81; (b) $306