Liam bought some dates and coconuts in the ratio of 3 : 7 respectively. The cost of one date was $1.50 more than the cost of one coconut. He spent a total of $207 buying the dates and coconuts. The total cost of the coconuts was $45 more than the total cost of the dates. How much did one coconut cost?
| |
Dates |
Coconuts |
Total |
| Number |
3 sets |
7 sets |
|
| Value |
$1.50 more |
|
|
| Total value |
|
$45 more |
$207 |
Total cost of dates
= (207 - 45) ÷ 2
= 162 ÷ 2
= $81
Total cost of coconuts
= 81 + 45
= $126
3 sets of dates = $81
1 set of dates = 81 ÷ 3 = $27
7 sets of coconuts = $126
1 set of coconuts = 126 ÷ 7 = $18
Difference in cost of 1 set of dates and 1 set of coconuts
= 27 - 18
= $9
Number of fruits in 1 set
= 9 ÷ 1.50
= 6
Cost of one coconut
= 18 ÷ 6
= $3
Answer(s): $3
