Liam bought some limes and grapefruits in the ratio of 3 : 5 respectively. The cost of one lime was $0.50 more than the cost of one grapefruit. He spent a total of $105 buying the limes and grapefruits. The total cost of the grapefruits was $15 more than the total cost of the limes. How much did one grapefruit cost?
| |
Limes |
Grapefruits |
Total |
| Number |
3 sets |
5 sets |
|
| Value |
$0.50 more |
|
|
| Total value |
|
$15 more |
$105 |
Total cost of limes
= (105 - 15) ÷ 2
= 90 ÷ 2
= $45
Total cost of grapefruits
= 45 + 15
= $60
3 sets of limes = $45
1 set of limes = 45 ÷ 3 = $15
5 sets of grapefruits = $60
1 set of grapefruits = 60 ÷ 5 = $12
Difference in cost of 1 set of limes and 1 set of grapefruits
= 15 - 12
= $3
Number of fruits in 1 set
= 3 ÷ 0.50
= 6
Cost of one grapefruit
= 12 ÷ 6
= $2
Answer(s): $2
