Maths-
General
Easy
Question
A software company is selling a new game in a standard edition and a collector’s edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector’s edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector’s edition games, c, that were ordered?
- 75 – s = c
20s + 30c = 1,870
- 75 − s = c
30s + 20c = 1,870
- s – c = 75
25 (s + c) = 1,870
- s − c = 75
30s + 20c = 1,870
The correct answer is: 75 – s = c
20s + 30c = 1,870
HINT – Read the statements and form linear equations in two variable
SOLUTION – It is given that
No of standard edition game = s
No of collector’s edition game = c
Volume of the box for standard edition = 20 cubic inches
Volume of the box for collector’s edition = 30 cubic inches
According to the question, total copies of the game ordered = 75
No of standard edition game and collector’s edition game = 75
s + c = 75
c = 75 – s ---- (1)
Further, total volume of the boxes ordered = 1870 cubic inches
20 s + 30 c = 1870 ---- (2)
From (1) and (2) ,
We get, option A is correct
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