SAT Linear equations in two variables Practice Question 18 (Hard)

Question bank / Linear equations in two variables

Math · AlgebraHard

The equation $8x + 12y = 960$ represents the number of units of product X, $x$ , and product Y, $y$ , that a company must sell to earn $\$960$ . If the company sells $6$ fewer units of product X, how many more units of product Y must it sell to still earn $\$960$ ?

$4$

$6$

$9$

$48$

Show answer and explanation

Answer: A

Selling 6 fewer units of X loses $8(6) = 48$ dollars. Each unit of Y earns $\$12$ , so the company needs $\frac{48}{12} = 4$ more units of Y.

Choice C uses the inverted ratio, $6 \cdot \frac{12}{8}$ , instead of $6 \cdot \frac{8}{12}$ .

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