Mark bought some grapefruits and avocados in the ratio of 2 : 7 respectively. The cost of one grapefruit was $1.50 more than the cost of one avocado. He spent a total of $240 buying the grapefruits and avocados. The total cost of the avocados was $96 more than the total cost of the grapefruits. How much did one grapefruit cost?
| |
Grapefruits |
Avocados |
Total |
| Number of sets |
2 sets |
7 sets |
|
| Compare each |
$1.50 more |
|
|
| Total value |
|
$96 more |
$240 |
Total cost of grapefruits
= (240 - 96) ÷ 2
= 144 ÷ 2
= $72
Total cost of avocados
= 72 + 96
= $168
2 sets of grapefruits = $72
1 set of grapefruits = 72 ÷ 2 = $36
7 sets of avocados = $168
1 set of avocados = 168 ÷ 7 = $24
Difference in cost of 1 set of grapefruits and 1 set of avocados
= 36 - 24
= $12
Number of fruits in 1 set
= 12 ÷ 1.50
= 8
Cost of one grapefruit
= 36 ÷ 8
= $4.50
Answer(s): $4.50
