Daniel bought some lemons and mandarin oranges in the ratio of 3 : 5 respectively. The cost of one lemon was $1.80 more than the cost of one mandarin orange. He spent a total of $147 buying the lemons and mandarin oranges. The total cost of the mandarin oranges was $3 more than the total cost of the lemons. How much did one mandarin orange cost?
| |
Lemons |
Mandarin Oranges |
Total |
| Number |
3 sets |
5 sets |
|
| Value |
$1.80 more |
|
|
| Total value |
|
$3 more |
$147 |
Total cost of lemons
= (147 - 3) ÷ 2
= 144 ÷ 2
= $72
Total cost of mandarin oranges
= 72 + 3
= $75
3 sets of lemons = $72
1 set of lemons = 72 ÷ 3 = $24
5 sets of mandarin oranges = $75
1 set of mandarin oranges = 75 ÷ 5 = $15
Difference in cost of 1 set of lemons and 1 set of mandarin oranges
= 24 - 15
= $9
Number of fruits in 1 set
= 9 ÷ 1.80
= 5
Cost of one mandarin orange
= 15 ÷ 5
= $3
Answer(s): $3
