Harry bought some tomatoes and mandarin oranges in the ratio of 3 : 4 respectively. The cost of one tomato was $0.50 more than the cost of one mandarin orange. He spent a total of $124 buying the tomatoes and mandarin oranges. The total cost of the mandarin oranges was $4 more than the total cost of the tomatoes. How much did one tomato cost?
| |
Tomatoes |
Mandarin Oranges |
Total |
| Number of sets |
3 sets |
4 sets |
|
| Compare each |
$0.50 more |
|
|
| Total value |
|
$4 more |
$124 |
Total cost of tomatoes
= (124 - 4) ÷ 2
= 120 ÷ 2
= $60
Total cost of mandarin oranges
= 60 + 4
= $64
3 sets of tomatoes = $60
1 set of tomatoes = 60 ÷ 3 = $20
4 sets of mandarin oranges = $64
1 set of mandarin oranges = 64 ÷ 4 = $16
Difference in cost of 1 set of tomatoes and 1 set of mandarin oranges
= 20 - 16
= $4
Number of fruits in 1 set
= 4 ÷ 0.50
= 8
Cost of one tomato
= 20 ÷ 8
= $2.50
Answer(s): $2.50
