Mark bought some coconuts and pomegranates in the ratio of 2 : 5 respectively. The cost of one coconut was $1.50 more than the cost of one pomegranate. He spent a total of $144 buying the coconuts and pomegranates. The total cost of the pomegranates was $36 more than the total cost of the coconuts. How much did one coconut cost?
| |
Coconuts |
Pomegranates |
Total |
| Number of sets |
2 sets |
5 sets |
|
| Compare each |
$1.50 more |
|
|
| Total value |
|
$36 more |
$144 |
Total cost of coconuts
= (144 - 36) ÷ 2
= 108 ÷ 2
= $54
Total cost of pomegranates
= 54 + 36
= $90
2 sets of coconuts = $54
1 set of coconuts = 54 ÷ 2 = $27
5 sets of pomegranates = $90
1 set of pomegranates = 90 ÷ 5 = $18
Difference in cost of 1 set of coconuts and 1 set of pomegranates
= 27 - 18
= $9
Number of fruits in 1 set
= 9 ÷ 1.50
= 6
Cost of one coconut
= 27 ÷ 6
= $4.50
Answer(s): $4.50
