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.
- Nora wanted to place an order to print 430 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. Will 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 $326.80. How many A4-size copies of the poster did Ian print?
(a)
Amount that Nora needed to pay
= 60 + 430 x 0.20
= $146
(b)
Total cost = $326.80
Printing cost excluding the basic printing charges
= 326.80 - 60 - 70
= $196.80
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
= 196.80 ÷ 1.8
≈ 109.3 (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
= 0.45 + 0.85
= $1.30
Number of sets if the number of copies that each man printed was between 50 to 99
= 196.80 ÷ 1.3
≈ 151.4 (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
= 196.80 ÷ 0.80
= 246 (✓) (Number of sets must be a whole number and is between 100 to 499.)
Number of A4-sized copies that Ian printed = 246
Answer(s): (a) $146; (b) 246