Warren bought some pomegranates and mangosteens in the ratio of 3 : 5 respectively. The cost of one pomegranate was $0.50 more than the cost of one mangosteen. He spent a total of $76 buying the pomegranates and mangosteens. The total cost of the mangosteens was $4 more than the total cost of the pomegranates. How much did one mangosteen cost?
| |
Pomegranates |
Mangosteens |
Total |
| Number |
3 sets |
5 sets |
|
| Value |
$0.50 more |
|
|
| Total value |
|
$4 more |
$76 |
Total cost of pomegranates
= (76 - 4) ÷ 2
= 72 ÷ 2
= $36
Total cost of mangosteens
= 36 + 4
= $40
3 sets of pomegranates = $36
1 set of pomegranates = 36 ÷ 3 = $12
5 sets of mangosteens = $40
1 set of mangosteens = 40 ÷ 5 = $8
Difference in cost of 1 set of pomegranates and 1 set of mangosteens
= 12 - 8
= $4
Number of fruits in 1 set
= 4 ÷ 0.50
= 8
Cost of one mangosteen
= 8 ÷ 8
= $1
Answer(s): $1
