Charlie bought some apricots and guavas in the ratio of 3 : 8 respectively. The cost of one apricot was $0.50 more than the cost of one guava. He spent a total of $138 buying the apricots and guavas. The total cost of the guavas was $54 more than the total cost of the apricots. How much did one apricot cost?
| |
Apricots |
Guavas |
Total |
| Number of sets |
3 sets |
8 sets |
|
| Compare each |
$0.50 more |
|
|
| Total value |
|
$54 more |
$138 |
Total cost of apricots
= (138 - 54) ÷ 2
= 84 ÷ 2
= $42
Total cost of guavas
= 42 + 54
= $96
3 sets of apricots = $42
1 set of apricots = 42 ÷ 3 = $14
8 sets of guavas = $96
1 set of guavas = 96 ÷ 8 = $12
Difference in cost of 1 set of apricots and 1 set of guavas
= 14 - 12
= $2
Number of fruits in 1 set
= 2 ÷ 0.50
= 4
Cost of one apricot
= 14 ÷ 4
= $3.50
Answer(s): $3.50
