Julian bought some mangosteens and oranges in the ratio of 3 : 7 respectively. The cost of one mangosteen was $1.60 more than the cost of one orange. He spent a total of $174 buying the mangosteens and oranges. The total cost of the oranges was $36 more than the total cost of the mangosteens. How much did one orange cost?
| |
Mangosteens |
Oranges |
Total |
| Number |
3 sets |
7 sets |
|
| Value |
$1.60 more |
|
|
| Total value |
|
$36 more |
$174 |
Total cost of mangosteens
= (174 - 36) ÷ 2
= 138 ÷ 2
= $69
Total cost of oranges
= 69 + 36
= $105
3 sets of mangosteens = $69
1 set of mangosteens = 69 ÷ 3 = $23
7 sets of oranges = $105
1 set of oranges = 105 ÷ 7 = $15
Difference in cost of 1 set of mangosteens and 1 set of oranges
= 23 - 15
= $8
Number of fruits in 1 set
= 8 ÷ 1.60
= 5
Cost of one orange
= 15 ÷ 5
= $3
Answer(s): $3
