The ratio of the number of dragon fruits to the number of coconuts that a fruit seller had was 3 : 8. After he sold one half of the coconuts, there were a total of 84 dragon fruits and coconuts left at the stall.
- How many dragon fruits were there at the stall?
- If he sold the remaining coconuts in bags of 6 at $7.50 per bag, how much would he receive for them?
(a)
|
Dragon Fruits |
Coconuts |
Total |
Before |
3x2 = 6 u
|
8x2 = 16 u |
|
Change |
|
- 8 u |
|
After |
6 u |
8 u |
84 |
The total number of coconuts at first is the repeated identity.
LCM of 8 and 2 = 16
6 u + 8 u = 14 u
14 u = 84
1 u = 84 ÷ 14 = 6
Number of dragon fruits in the stall
= 6 u
= 6 x 6
= 36
(b)
Number of coconuts left
= 8 u
= 8 x 6
= 48
Number of bags
= 48 ÷ 6
= 8
Amount that he would receive
= 8 x 7.50
= $60
Answer(s): (a) 36; (b) $60