Albert bought some coconuts and guavas in the ratio of 3 : 8 respectively. The cost of one coconut was $0.50 more than the cost of one guava. He spent a total of $94 buying the coconuts and guavas. The total cost of the guavas was $34 more than the total cost of the coconuts. How much did one coconut cost?
| |
Coconuts |
Guavas |
Total |
| Number of sets |
3 sets |
8 sets |
|
| Compare each |
$0.50 more |
|
|
| Total value |
|
$34 more |
$94 |
Total cost of coconuts
= (94 - 34) ÷ 2
= 60 ÷ 2
= $30
Total cost of guavas
= 30 + 34
= $64
3 sets of coconuts = $30
1 set of coconuts = 30 ÷ 3 = $10
8 sets of guavas = $64
1 set of guavas = 64 ÷ 8 = $8
Difference in cost of 1 set of coconuts and 1 set of guavas
= 10 - 8
= $2
Number of fruits in 1 set
= 2 ÷ 0.50
= 4
Cost of one coconut
= 10 ÷ 4
= $2.50
Answer(s): $2.50
