Justin bought some limes and mangosteens in the ratio of 2 : 5 respectively. The cost of one lime was $1.50 more than the cost of one mangosteen. He spent a total of $34 buying the limes and mangosteens. The total cost of the mangosteens was $6 more than the total cost of the limes. How much did one lime cost?
| |
Limes |
Mangosteens |
Total |
| Number of sets |
2 sets |
5 sets |
|
| Compare each |
$1.50 more |
|
|
| Total value |
|
$6 more |
$34 |
Total cost of limes
= (34 - 6) ÷ 2
= 28 ÷ 2
= $14
Total cost of mangosteens
= 14 + 6
= $20
2 sets of limes = $14
1 set of limes = 14 ÷ 2 = $7
5 sets of mangosteens = $20
1 set of mangosteens = 20 ÷ 5 = $4
Difference in cost of 1 set of limes and 1 set of mangosteens
= 7 - 4
= $3
Number of fruits in 1 set
= 3 ÷ 1.50
= 2
Cost of one lime
= 7 ÷ 2
= $3.50
Answer(s): $3.50
