Henry bought some dates and grapefruits in the ratio of 2 : 7 respectively. The cost of one date was $0.80 more than the cost of one grapefruit. He spent a total of $53 buying the dates and grapefruits. The total cost of the grapefruits was $17 more than the total cost of the dates. How much did one date cost?
| |
Dates |
Grapefruits |
Total |
| Number of sets |
2 sets |
7 sets |
|
| Compare each |
$0.80 more |
|
|
| Total value |
|
$17 more |
$53 |
Total cost of dates
= (53 - 17) ÷ 2
= 36 ÷ 2
= $18
Total cost of grapefruits
= 18 + 17
= $35
2 sets of dates = $18
1 set of dates = 18 ÷ 2 = $9
7 sets of grapefruits = $35
1 set of grapefruits = 35 ÷ 7 = $5
Difference in cost of 1 set of dates and 1 set of grapefruits
= 9 - 5
= $4
Number of fruits in 1 set
= 4 ÷ 0.80
= 5
Cost of one date
= 9 ÷ 5
= $1.80
Answer(s): $1.80
