Mark bought some lemons and coconuts in the ratio of 3 : 8 respectively. The cost of one lemon was $1.20 more than the cost of one coconut. He spent a total of $128 buying the lemons and coconuts. The total cost of the coconuts was $32 more than the total cost of the lemons. How much did one coconut cost?
| |
Lemons |
Coconuts |
Total |
| Number |
3 sets |
8 sets |
|
| Value |
$1.20 more |
|
|
| Total value |
|
$32 more |
$128 |
Total cost of lemons
= (128 - 32) ÷ 2
= 96 ÷ 2
= $48
Total cost of coconuts
= 48 + 32
= $80
3 sets of lemons = $48
1 set of lemons = 48 ÷ 3 = $16
8 sets of coconuts = $80
1 set of coconuts = 80 ÷ 8 = $10
Difference in cost of 1 set of lemons and 1 set of coconuts
= 16 - 10
= $6
Number of fruits in 1 set
= 6 ÷ 1.20
= 5
Cost of one coconut
= 10 ÷ 5
= $2
Answer(s): $2
