The table shows the charges for printing at a printing company. The cost per piece is based on the total number of copies to be printed.
- Xandra wanted to place an order to print 290 A3-size copies of her poster. How much did she need to pay?
- Carl placed an order to print some A4-size copies of his poster. Sam placed an order to print some A3-size copies of his poster. Both of them ordered an equal number of copies of their posters. The total cost of their orders was $125.90. How many A4-size copies of the poster did Carl print?
(a)
Amount that Xandra needed to pay
= 30 + 290 x 0.50
= $175
(b)
Total cost = $125.90
Printing cost excluding the basic printing charges
= 125.90 - 20 - 30
= $75.90
Amount of 1 A4 copy and 1 A3 copy if the cost per piece was between 1 to 49
= 0.60 + 1.00
= $1.60
Number of sets if the number of copies that each boy printed was between 1 to 49
= 75.90 ÷ 1.6
≈ 47.4 (x) (Number of sets must be a whole number and is between 1 to 49.)
Amount of 1 A4 copy and 1 A3 copy if the cost per piece was between 50 to 99
= 0.35 + 0.75
= $1.10
Number of sets if the number of copies that each boy printed was between 50 to 99
= 75.90 ÷ 1.1
= 69 (✓) (Number of sets must be a whole number and is between 50 to 99.)
Number of A4-size copies of the poster that Carl printed = 69
Answer(s): (a) $175; (b) 69