Asher bought some limes and avocados in the ratio of 3 : 8 respectively. The cost of one lime was $1.50 more than the cost of one avocado. He spent a total of $31 buying the limes and avocados. The total cost of the avocados was $1 more than the total cost of the limes. How much did one lime cost?
| |
Limes |
Avocados |
Total |
| Number of sets |
3 sets |
8 sets |
|
| Compare each |
$1.50 more |
|
|
| Total value |
|
$1 more |
$31 |
Total cost of limes
= (31 - 1) ÷ 2
= 30 ÷ 2
= $15
Total cost of avocados
= 15 + 1
= $16
3 sets of limes = $15
1 set of limes = 15 ÷ 3 = $5
8 sets of avocados = $16
1 set of avocados = 16 ÷ 8 = $2
Difference in cost of 1 set of limes and 1 set of avocados
= 5 - 2
= $3
Number of fruits in 1 set
= 3 ÷ 1.50
= 2
Cost of one lime
= 5 ÷ 2
= $2.50
Answer(s): $2.50
