Perry bought some mandarin oranges and pomegranates in the ratio of 3 : 8 respectively. The cost of one mandarin orange was $1.20 more than the cost of one pomegranate. He spent a total of $128 buying the mandarin oranges and pomegranates. The total cost of the pomegranates was $32 more than the total cost of the mandarin oranges. How much did one mandarin orange cost?
| |
Mandarin Oranges |
Pomegranates |
Total |
| Number of sets |
3 sets |
8 sets |
|
| Compare each |
$1.20 more |
|
|
| Total value |
|
$32 more |
$128 |
Total cost of mandarin oranges
= (128 - 32) ÷ 2
= 96 ÷ 2
= $48
Total cost of pomegranates
= 48 + 32
= $80
3 sets of mandarin oranges = $48
1 set of mandarin oranges = 48 ÷ 3 = $16
8 sets of pomegranates = $80
1 set of pomegranates = 80 ÷ 8 = $10
Difference in cost of 1 set of mandarin oranges and 1 set of pomegranates
= 16 - 10
= $6
Number of fruits in 1 set
= 6 ÷ 1.20
= 5
Cost of one mandarin orange
= 16 ÷ 5
= $3.20
Answer(s): $3.20
