Pierre bought some guavas and peaches in the ratio of 3 : 7 respectively. The cost of one guava was $0.50 more than the cost of one peach. He spent a total of $189 buying the guavas and peaches. The total cost of the peaches was $63 more than the total cost of the guavas. How much did one peach cost?
| |
Guavas |
Peaches |
Total |
| Number |
3 sets |
7 sets |
|
| Value |
$0.50 more |
|
|
| Total value |
|
$63 more |
$189 |
Total cost of guavas
= (189 - 63) ÷ 2
= 126 ÷ 2
= $63
Total cost of peaches
= 63 + 63
= $126
3 sets of guavas = $63
1 set of guavas = 63 ÷ 3 = $21
7 sets of peaches = $126
1 set of peaches = 126 ÷ 7 = $18
Difference in cost of 1 set of guavas and 1 set of peaches
= 21 - 18
= $3
Number of fruits in 1 set
= 3 ÷ 0.50
= 6
Cost of one peach
= 18 ÷ 6
= $3
Answer(s): $3
