Systems of Linear Functions in Financial Contexts — Quiz
Question 6 • Financial Math
Oliver and Sophia both buy pencils and pens for school. Let x represent the cost of pencils and y represent the cost of pens. Oliver buys 6 pencils and 4 pens, spending $14 Sophia buys 8 pencils and 3 pens, spending $14 Which system of equations represents the situation?
Answer
A
6x+2y=14 8x+y=14
B
6 x plus 4 y is equal to 14 8 x plus 3 y is equal to 14
C
x plus 2 y is equal to 14 2 x plus y is equal to 14
D
4 x plus 6 y is equal to 14 3 x plus 8 y is equal to 14
Explanation
Let x be the cost of one pencil and y the cost of one pen. Oliver buys 6 pencils and 4 pens, so his total is 6x + 4y = 14. Sophia buys 8 pencils and 3 pens, so her total is 8x + 3y = 14. Choice B gives both equations.
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