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.
- Natalie wanted to place an order to print 260 A4-size copies of her poster. How much did she need to pay?
- Fabian 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 $205.20. How many A4-size copies of the poster did Fabian print?
(a)
Amount that Natalie needed to pay
= 50 + 260 x 0.20
= $102
(b)
Total cost = $205.20
Printing cost excluding the basic printing charges
= 205.20 - 50 - 60
= $95.20
Amount of 1 A4 copy and 1 A3 copy if the cost per piece was between 1 to 49
= 0.70 + 1.10
= $1.80
Number of sets if the number of copies that each man printed was between 1 to 49
= 95.20 ÷ 1.8
≈ 52.9 (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
= 0.45 + 0.85
= $1.30
Number of sets if the number of copies that each man printed was between 50 to 99
= 95.20 ÷ 1.3
≈ 73.2 (x) (Number of sets must be a whole number and is between 50 to 99.)
Amount of 1 A4 copy and 1 A3 copy if the cost per piece was between 100 to 499
= 0.20 + 0.60
= $0.80
Number of sets if the number of copies that each man printed was between 100 to 499
= 95.20 ÷ 0.80
= 119 (✓) (Number of sets must be a whole number and is between 100 to 499.)
Number of A4-sized copies that Fabian printed = 119
Answer(s): (a) $102; (b) 119