Glen bought some pomegranates and kiwis in the ratio of 3 : 7 respectively. The cost of one pomegranate was $0.60 more than the cost of one kiwi. He spent a total of $109 buying the pomegranates and kiwis. The total cost of the kiwis was $31 more than the total cost of the pomegranates. How much did one pomegranate cost?
| |
Pomegranates |
Kiwis |
Total |
| Number of sets |
3 sets |
7 sets |
|
| Compare each |
$0.60 more |
|
|
| Total value |
|
$31 more |
$109 |
Total cost of pomegranates
= (109 - 31) ÷ 2
= 78 ÷ 2
= $39
Total cost of kiwis
= 39 + 31
= $70
3 sets of pomegranates = $39
1 set of pomegranates = 39 ÷ 3 = $13
7 sets of kiwis = $70
1 set of kiwis = 70 ÷ 7 = $10
Difference in cost of 1 set of pomegranates and 1 set of kiwis
= 13 - 10
= $3
Number of fruits in 1 set
= 3 ÷ 0.60
= 5
Cost of one pomegranate
= 13 ÷ 5
= $2.60
Answer(s): $2.60
