David bought some plums and avocados in the ratio of 3 : 8 respectively. The cost of one plum was $0.20 more than the cost of one avocado. He spent a total of $168 buying the plums and avocados. The total cost of the avocados was $72 more than the total cost of the plums. How much did one plum cost?
| |
Plums |
Avocados |
Total |
| Number of sets |
3 sets |
8 sets |
|
| Compare each |
$0.20 more |
|
|
| Total value |
|
$72 more |
$168 |
Total cost of plums
= (168 - 72) ÷ 2
= 96 ÷ 2
= $48
Total cost of avocados
= 48 + 72
= $120
3 sets of plums = $48
1 set of plums = 48 ÷ 3 = $16
8 sets of avocados = $120
1 set of avocados = 120 ÷ 8 = $15
Difference in cost of 1 set of plums and 1 set of avocados
= 16 - 15
= $1
Number of fruits in 1 set
= 1 ÷ 0.20
= 5
Cost of one plum
= 16 ÷ 5
= $3.20
Answer(s): $3.20
