During her shopping trip, Olivia bought three different types of pencils, N, P and Q in the ratio of 5 : 3 : 7. She decided to sell them at the prices listed as shown.
Pencil N : $1.20
Pencil P : $0.90
Pencil Q : $0.50
Given that Olivia bought a total 510 pencils, how much did Olivia collect from the sale of all the pencils?
|
Pencil N |
Pencil P |
Pencil Q |
Total |
Ratio of pencil |
5 u |
3 u |
7 u |
15 u |
Value of each pencil |
$1.20 |
$0.90 |
$0.50 |
|
15 u = 510
1 u = 510 ÷ 15 = 34
Number of Pencil N
= 5 x 34
= 170
Number of Pencil P
= 3 x 34
= 102
Number of Pencil Q
= 7 x 34
= 238
Total revenue
= 170 x 1.20 + 102 x 0.90 + 238 x 0.50
= 204.00 + 91.80 + 119.00
= $414.80
Answer(s): $414.80