Reggie bought some peaches and guavas in the ratio of 2 : 5 respectively. The cost of one peach was $0.60 more than the cost of one guava. He spent a total of $76 buying the peaches and guavas. The total cost of the guavas was $24 more than the total cost of the peaches. How much did one peach cost?
| |
Peaches |
Guavas |
Total |
| Number of sets |
2 sets |
5 sets |
|
| Compare each |
$0.60 more |
|
|
| Total value |
|
$24 more |
$76 |
Total cost of peaches
= (76 - 24) ÷ 2
= 52 ÷ 2
= $26
Total cost of guavas
= 26 + 24
= $50
2 sets of peaches = $26
1 set of peaches = 26 ÷ 2 = $13
5 sets of guavas = $50
1 set of guavas = 50 ÷ 5 = $10
Difference in cost of 1 set of peaches and 1 set of guavas
= 13 - 10
= $3
Number of fruits in 1 set
= 3 ÷ 0.60
= 5
Cost of one peach
= 13 ÷ 5
= $2.60
Answer(s): $2.60
