Reggie bought some tomatoes and kiwis in the ratio of 3 : 5 respectively. The cost of one tomato was $0.50 more than the cost of one kiwi. He spent a total of $70 buying the tomatoes and kiwis. The total cost of the kiwis was $10 more than the total cost of the tomatoes. How much did one tomato cost?
| |
Tomatoes |
Kiwis |
Total |
| Number of sets |
3 sets |
5 sets |
|
| Compare each |
$0.50 more |
|
|
| Total value |
|
$10 more |
$70 |
Total cost of tomatoes
= (70 - 10) ÷ 2
= 60 ÷ 2
= $30
Total cost of kiwis
= 30 + 10
= $40
3 sets of tomatoes = $30
1 set of tomatoes = 30 ÷ 3 = $10
5 sets of kiwis = $40
1 set of kiwis = 40 ÷ 5 = $8
Difference in cost of 1 set of tomatoes and 1 set of kiwis
= 10 - 8
= $2
Number of fruits in 1 set
= 2 ÷ 0.50
= 4
Cost of one tomato
= 10 ÷ 4
= $2.50
Answer(s): $2.50
