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.
- Min wanted to place an order to print 480 A4-size copies of her poster. How much did she need to pay?
- Japheth placed an order to print some A4-size copies of his poster. Fabian 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 $233.20. How many A4-size copies of the poster did Japheth print?
(a)
Amount that Min needed to pay
= 30 + 480 x 0.10
= $78
(b)
Total cost = $233.20
Printing cost excluding the basic printing charges
= 233.20 - 30 - 40
= $163.20
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
= 163.20 ÷ 1.6
≈ 102.0 (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
= 163.20 ÷ 1.1
≈ 148.4 (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
= 0.10 + 0.50
= $0.60
Number of sets if the number of copies that each man printed was between 100 to 499
= 163.20 ÷ 0.60
= 272 (✓) (Number of sets must be a whole number and is between 100 to 499.)
Number of A4-sized copies that Japheth printed = 272
Answer(s): (a) $78; (b) 272