Ben bought some guavas and peaches in the ratio of 2 : 7 respectively. The cost of one guava was $1.60 more than the cost of one peach. He spent a total of $106 buying the guavas and peaches. The total cost of the peaches was $34 more than the total cost of the guavas. How much did one guava cost?
| |
Guavas |
Peaches |
Total |
| Number of sets |
2 sets |
7 sets |
|
| Compare each |
$1.60 more |
|
|
| Total value |
|
$34 more |
$106 |
Total cost of guavas
= (106 - 34) ÷ 2
= 72 ÷ 2
= $36
Total cost of peaches
= 36 + 34
= $70
2 sets of guavas = $36
1 set of guavas = 36 ÷ 2 = $18
7 sets of peaches = $70
1 set of peaches = 70 ÷ 7 = $10
Difference in cost of 1 set of guavas and 1 set of peaches
= 18 - 10
= $8
Number of fruits in 1 set
= 8 ÷ 1.60
= 5
Cost of one guava
= 18 ÷ 5
= $3.60
Answer(s): $3.60
