Liam bought some mandarin oranges and oranges in the ratio of 3 : 7 respectively. The cost of one mandarin orange was $1.50 more than the cost of one orange. He spent a total of $207 buying the mandarin oranges and oranges. The total cost of the oranges was $45 more than the total cost of the mandarin oranges. How much did one orange cost?
| |
Mandarin Oranges |
Oranges |
Total |
| Number |
3 sets |
7 sets |
|
| Value |
$1.50 more |
|
|
| Total value |
|
$45 more |
$207 |
Total cost of mandarin oranges
= (207 - 45) ÷ 2
= 162 ÷ 2
= $81
Total cost of oranges
= 81 + 45
= $126
3 sets of mandarin oranges = $81
1 set of mandarin oranges = 81 ÷ 3 = $27
7 sets of oranges = $126
1 set of oranges = 126 ÷ 7 = $18
Difference in cost of 1 set of mandarin oranges and 1 set of oranges
= 27 - 18
= $9
Number of fruits in 1 set
= 9 ÷ 1.50
= 6
Cost of one orange
= 18 ÷ 6
= $3
Answer(s): $3
