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.
- Usha wanted to place an order to print 260 A4-size copies of her poster. How much did she need to pay?
- Vaidev placed an order to print some A4-size copies of his poster. Ethan 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 $210.80. How many A4-size copies of the poster did Vaidev print?
(a)
Amount that Usha needed to pay
= 50 + 260 x 0.10
= $76
(b)
Total cost = $210.80
Printing cost excluding the basic printing charges
= 210.80 - 50 - 60
= $100.80
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
= 100.80 ÷ 1.6
≈ 63.0 (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
= 100.80 ÷ 1.1
≈ 91.6 (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
= 100.80 ÷ 0.60
= 168 (✓) (Number of sets must be a whole number and is between 100 to 499.)
Number of A4-sized copies that Vaidev printed = 168
Answer(s): (a) $76; (b) 168