Gabriel bought some apples and tomatoes in the ratio of 3 : 4 respectively. The cost of one apple was $0.20 more than the cost of one tomato. He spent a total of $38 buying the apples and tomatoes. The total cost of the tomatoes was $2 more than the total cost of the apples. How much did one apple cost?
| |
Apples |
Tomatoes |
Total |
| Number of sets |
3 sets |
4 sets |
|
| Compare each |
$0.20 more |
|
|
| Total value |
|
$2 more |
$38 |
Total cost of apples
= (38 - 2) ÷ 2
= 36 ÷ 2
= $18
Total cost of tomatoes
= 18 + 2
= $20
3 sets of apples = $18
1 set of apples = 18 ÷ 3 = $6
4 sets of tomatoes = $20
1 set of tomatoes = 20 ÷ 4 = $5
Difference in cost of 1 set of apples and 1 set of tomatoes
= 6 - 5
= $1
Number of fruits in 1 set
= 1 ÷ 0.20
= 5
Cost of one apple
= 6 ÷ 5
= $1.20
Answer(s): $1.20
