During her shopping trip, Zoe bought three different types of crayons, X, Y and Z in the ratio of 4 : 2 : 7. She decided to sell them at the prices listed as shown.
Crayon X : $1.20
Crayon Y : $0.80
Crayon Z : $0.40
Given that Zoe bought a total 442 crayons, how much did Zoe collect from the sale of all the crayons?
|
Crayon X |
Crayon Y |
Crayon Z |
Total |
Ratio of crayon |
4 u |
2 u |
7 u |
13 u |
Value of each crayon |
$1.20 |
$0.80 |
$0.40 |
|
13 u = 442
1 u = 442 ÷ 13 = 34
Number of Crayon X
= 4 x 34
= 136
Number of Crayon Y
= 2 x 34
= 68
Number of Crayon Z
= 7 x 34
= 238
Total revenue
= 136 x 1.20 + 68 x 0.80 + 238 x 0.40
= 163.20 + 54.40 + 95.20
= $312.80
Answer(s): $312.80