Sam bought some dragon fruits and limes in the ratio of 3 : 5 respectively. The cost of one dragon fruit was $0.50 more than the cost of one lime. He spent a total of $35 buying the dragon fruits and limes. The total cost of the limes was $5 more than the total cost of the dragon fruits. How much did one dragon fruit cost?
|
Dragon Fruits |
Limes |
Total |
Number of sets |
3 sets |
5 sets |
|
Compare each |
$0.50 more |
|
|
Total value |
|
$5 more |
$35 |
Total cost of dragon fruits
= (35 - 5) ÷ 2
= 30 ÷ 2
= $15
Total cost of limes
= 15 + 5
= $20
3 sets of dragon fruits = $15
1 set of dragon fruits = 15 ÷ 3 = $5
5 sets of limes = $20
1 set of limes = 20 ÷ 5 = $4
Difference in cost of 1 set of dragon fruits and 1 set of limes
= 5 - 4
= $1
Number of fruits in 1 set
= 1 ÷ 0.50
= 2
Cost of one dragon fruit
= 5 ÷ 2
= $2.50
Answer(s): $2.50