Asher bought some apricots and tomatoes in the ratio of 2 : 7 respectively. The cost of one apricot was $1.40 more than the cost of one tomato. He spent a total of $149 buying the apricots and tomatoes. The total cost of the tomatoes was $61 more than the total cost of the apricots. How much did one tomato cost?
|
Apricots |
Tomatoes |
Total |
Number |
2 sets |
7 sets |
|
Value |
$1.40 more |
|
|
Total value |
|
$61 more |
$149 |
Total cost of apricots
= (149 - 61) ÷ 2
= 88 ÷ 2
= $44
Total cost of tomatoes
= 44 + 61
= $105
2 sets of apricots = $44
1 set of apricots = 44 ÷ 2 = $22
7 sets of tomatoes = $105
1 set of tomatoes = 105 ÷ 7 = $15
Difference in cost of 1 set of apricots and 1 set of tomatoes
= 22 - 15
= $7
Number of fruits in 1 set
= 7 ÷ 1.40
= 5
Cost of one tomato
= 15 ÷ 5
= $3
Answer(s): $3