Mark bought some guavas and pears in the ratio of 3 : 7 respectively. The cost of one guava was $1.60 more than the cost of one pear. He spent a total of $174 buying the guavas and pears. The total cost of the pears was $36 more than the total cost of the guavas. How much did one guava cost?
| |
Guavas |
Pears |
Total |
| Number of sets |
3 sets |
7 sets |
|
| Compare each |
$1.60 more |
|
|
| Total value |
|
$36 more |
$174 |
Total cost of guavas
= (174 - 36) ÷ 2
= 138 ÷ 2
= $69
Total cost of pears
= 69 + 36
= $105
3 sets of guavas = $69
1 set of guavas = 69 ÷ 3 = $23
7 sets of pears = $105
1 set of pears = 105 ÷ 7 = $15
Difference in cost of 1 set of guavas and 1 set of pears
= 23 - 15
= $8
Number of fruits in 1 set
= 8 ÷ 1.60
= 5
Cost of one guava
= 23 ÷ 5
= $4.60
Answer(s): $4.60
