Riordan bought some tomatoes and guavas in the ratio of 3 : 7 respectively. The cost of one tomato was $0.50 more than the cost of one guava. He spent a total of $252 buying the tomatoes and guavas. The total cost of the guavas was $84 more than the total cost of the tomatoes. How much did one guava cost?
| |
Tomatoes |
Guavas |
Total |
| Number |
3 sets |
7 sets |
|
| Value |
$0.50 more |
|
|
| Total value |
|
$84 more |
$252 |
Total cost of tomatoes
= (252 - 84) ÷ 2
= 168 ÷ 2
= $84
Total cost of guavas
= 84 + 84
= $168
3 sets of tomatoes = $84
1 set of tomatoes = 84 ÷ 3 = $28
7 sets of guavas = $168
1 set of guavas = 168 ÷ 7 = $24
Difference in cost of 1 set of tomatoes and 1 set of guavas
= 28 - 24
= $4
Number of fruits in 1 set
= 4 ÷ 0.50
= 8
Cost of one guava
= 24 ÷ 8
= $3
Answer(s): $3
