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.
- Julie wanted to place an order to print 260 A4-size copies of her poster. How much did she need to pay?
- Archie placed an order to print some A4-size copies of his poster. Dylan 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 $204.80. How many A4-size copies of the poster did Archie print?
(a)
Amount that Julie needed to pay
= 50 + 260 x 0.10
= $76
(b)
Total cost = $204.80
Printing cost excluding the basic printing charges
= 204.80 - 50 - 60
= $94.80
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
= 94.80 ÷ 1.6
≈ 59.3 (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
= 94.80 ÷ 1.1
≈ 86.2 (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
= 0.10 + 0.50
= $0.60
Number of sets if the number of copies that each man printed was between 100 to 499
= 94.80 ÷ 0.60
= 158 (✓) (Number of sets must be a whole number and is between 100 to 499.)
Number of A4-sized copies that Archie printed = 158
Answer(s): (a) $76; (b) 158