Sam bought some dragon fruits and kiwis in the ratio of 3 : 8 respectively. The cost of one dragon fruit was $1.20 more than the cost of one kiwi. He spent a total of $73 buying the dragon fruits and kiwis. The total cost of the kiwis was $7 more than the total cost of the dragon fruits. How much did one dragon fruit cost?
|
Dragon Fruits |
Kiwis |
Total |
Number of sets |
3 sets |
8 sets |
|
Compare each |
$1.20 more |
|
|
Total value |
|
$7 more |
$73 |
Total cost of dragon fruits
= (73 - 7) ÷ 2
= 66 ÷ 2
= $33
Total cost of kiwis
= 33 + 7
= $40
3 sets of dragon fruits = $33
1 set of dragon fruits = 33 ÷ 3 = $11
8 sets of kiwis = $40
1 set of kiwis = 40 ÷ 8 = $5
Difference in cost of 1 set of dragon fruits and 1 set of kiwis
= 11 - 5
= $6
Number of fruits in 1 set
= 6 ÷ 1.20
= 5
Cost of one dragon fruit
= 11 ÷ 5
= $2.20
Answer(s): $2.20