Ryan bought some coconuts and apples in the ratio of 2 : 7 respectively. The cost of one coconut was $1.80 more than the cost of one apple. He spent a total of $108 buying the coconuts and apples. The total cost of the apples was $32 more than the total cost of the coconuts. How much did one apple cost?
| |
Coconuts |
Apples |
Total |
| Number |
2 sets |
7 sets |
|
| Value |
$1.80 more |
|
|
| Total value |
|
$32 more |
$108 |
Total cost of coconuts
= (108 - 32) ÷ 2
= 76 ÷ 2
= $38
Total cost of apples
= 38 + 32
= $70
2 sets of coconuts = $38
1 set of coconuts = 38 ÷ 2 = $19
7 sets of apples = $70
1 set of apples = 70 ÷ 7 = $10
Difference in cost of 1 set of coconuts and 1 set of apples
= 19 - 10
= $9
Number of fruits in 1 set
= 9 ÷ 1.80
= 5
Cost of one apple
= 10 ÷ 5
= $2
Answer(s): $2
