Henry bought some dragon fruits and tomatoes in the ratio of 2 : 7 respectively. The cost of one dragon fruit was $0.50 more than the cost of one tomato. He spent a total of $80 buying the dragon fruits and tomatoes. The total cost of the tomatoes was $32 more than the total cost of the dragon fruits. How much did one dragon fruit cost?
| |
Dragon Fruits |
Tomatoes |
Total |
| Number of sets |
2 sets |
7 sets |
|
| Compare each |
$0.50 more |
|
|
| Total value |
|
$32 more |
$80 |
Total cost of dragon fruits
= (80 - 32) ÷ 2
= 48 ÷ 2
= $24
Total cost of tomatoes
= 24 + 32
= $56
2 sets of dragon fruits = $24
1 set of dragon fruits = 24 ÷ 2 = $12
7 sets of tomatoes = $56
1 set of tomatoes = 56 ÷ 7 = $8
Difference in cost of 1 set of dragon fruits and 1 set of tomatoes
= 12 - 8
= $4
Number of fruits in 1 set
= 4 ÷ 0.50
= 8
Cost of one dragon fruit
= 12 ÷ 8
= $1.50
Answer(s): $1.50
