Mark bought some mandarin oranges and oranges in the ratio of 3 : 8 respectively. The cost of one mandarin orange was $0.50 more than the cost of one orange. He spent a total of $50 buying the mandarin oranges and oranges. The total cost of the oranges was $14 more than the total cost of the mandarin oranges. How much did one mandarin orange cost?
| |
Mandarin Oranges |
Oranges |
Total |
| Number of sets |
3 sets |
8 sets |
|
| Compare each |
$0.50 more |
|
|
| Total value |
|
$14 more |
$50 |
Total cost of mandarin oranges
= (50 - 14) ÷ 2
= 36 ÷ 2
= $18
Total cost of oranges
= 18 + 14
= $32
3 sets of mandarin oranges = $18
1 set of mandarin oranges = 18 ÷ 3 = $6
8 sets of oranges = $32
1 set of oranges = 32 ÷ 8 = $4
Difference in cost of 1 set of mandarin oranges and 1 set of oranges
= 6 - 4
= $2
Number of fruits in 1 set
= 2 ÷ 0.50
= 4
Cost of one mandarin orange
= 6 ÷ 4
= $1.50
Answer(s): $1.50
