Question

theo and chey bought twice as many pounds of strawberries than pounds of apples. they wrote two equations, where x is pounds of apples and y is pounds of strawberries:
$48 = 4x + 6y$
$y = 2x$
how many pounds of each fruit did they buy?

apples (lb), x	strawberries (lb), y

show or explain your thinking.

Explanation:

Step1: Substitute \( y = 2x \) into \( 48 = 4x + 6y \)

We know \( y = 2x \), so replace \( y \) in the first equation with \( 2x \). The equation becomes \( 48 = 4x + 6(2x) \).

Step2: Simplify and solve for \( x \)

First, calculate \( 6(2x)=12x \), so the equation is \( 48 = 4x + 12x \). Combine like terms: \( 4x + 12x = 16x \), so \( 48 = 16x \). Then divide both sides by 16: \( x=\frac{48}{16}=3 \).

Step3: Find \( y \) using \( y = 2x \)

Substitute \( x = 3 \) into \( y = 2x \), so \( y = 2\times3 = 6 \).

Answer:

Apples (lb), \( x \): 3
Strawberries (lb), \( y \): 6