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.
- Lynn wanted to place an order to print 380 A4-size copies of her poster. How much did she need to pay?
- Ian placed an order to print some A4-size copies of his poster. Billy 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 $286.80. How many A4-size copies of the poster did Ian print?
(a)
Amount that Lynn needed to pay
= 40 + 380 x 0.10
= $78
(b)
Total cost = $286.80
Printing cost excluding the basic printing charges
= 286.80 - 40 - 50
= $196.80
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 man printed was between 1 to 49
= 196.80 ÷ 1.6
≈ 123.0 (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 man printed was between 50 to 99
= 196.80 ÷ 1.1
≈ 178.9 (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
= 0.10 + 0.50
= $0.60
Number of sets if the number of copies that each man printed was between 100 to 499
= 196.80 ÷ 0.60
= 328 (✓) (Number of sets must be a whole number and is between 100 to 499.)
Number of A4-sized copies that Ian printed = 328
Answer(s): (a) $78; (b) 328