The ratio of the number of coconuts to the number of dragon fruits that a fruit seller had was 3 : 8. After he sold one quarter of the dragon fruits, there were a total of 540 coconuts and dragon fruits left at the supermarket.
- How many coconuts were there at the supermarket?
- If he sold the remaining dragon fruits in bags of 4 at $6.20 per bag, how much would he receive for them?
(a)
|
Coconuts |
Dragon Fruits |
Total |
Before |
3x4 = 12 u
|
8x4 = 32 u |
|
Change |
|
- 8 u |
|
After |
12 u |
24 u |
540 |
The total number of dragon fruits at first is the repeated identity.
LCM of 8 and 4 = 32
12 u + 24 u = 36 u
36 u = 540
1 u = 540 ÷ 36 = 15
Number of coconuts in the stall
= 12 u
= 12 x 15
= 180
(b)
Number of dragon fruits left
= 24 u
= 24 x 15
= 360
Number of bags
= 360 ÷ 4
= 90
Amount that he would receive
= 90 x 6.20
= $558
Answer(s): (a) 180; (b) $558