Sean bought some plums and dragon fruits in the ratio of 3 : 5 respectively. The cost of one plum was $0.60 more than the cost of one dragon fruit. He spent a total of $49 buying the plums and dragon fruits. The total cost of the dragon fruits was $1 more than the total cost of the plums. How much did one plum cost?
|
Plums |
Dragon Fruits |
Total |
Number of sets |
3 sets |
5 sets |
|
Compare each |
$0.60 more |
|
|
Total value |
|
$1 more |
$49 |
Total cost of plums
= (49 - 1) ÷ 2
= 48 ÷ 2
= $24
Total cost of dragon fruits
= 24 + 1
= $25
3 sets of plums = $24
1 set of plums = 24 ÷ 3 = $8
5 sets of dragon fruits = $25
1 set of dragon fruits = 25 ÷ 5 = $5
Difference in cost of 1 set of plums and 1 set of dragon fruits
= 8 - 5
= $3
Number of fruits in 1 set
= 3 ÷ 0.60
= 5
Cost of one plum
= 8 ÷ 5
= $1.60
Answer(s): $1.60