Luis bought some plums and dates in the ratio of 3 : 7 respectively. The cost of one plum was $1.50 more than the cost of one date. He spent a total of $138 buying the plums and dates. The total cost of the dates was $30 more than the total cost of the plums. How much did one plum cost?
| |
Plums |
Dates |
Total |
| Number of sets |
3 sets |
7 sets |
|
| Compare each |
$1.50 more |
|
|
| Total value |
|
$30 more |
$138 |
Total cost of plums
= (138 - 30) ÷ 2
= 108 ÷ 2
= $54
Total cost of dates
= 54 + 30
= $84
3 sets of plums = $54
1 set of plums = 54 ÷ 3 = $18
7 sets of dates = $84
1 set of dates = 84 ÷ 7 = $12
Difference in cost of 1 set of plums and 1 set of dates
= 18 - 12
= $6
Number of fruits in 1 set
= 6 ÷ 1.50
= 4
Cost of one plum
= 18 ÷ 4
= $4.50
Answer(s): $4.50
