Question

520 = 3.50m + 2.75p
175 = m + p

Explanation:

Step1: Define variables and equations

We have a system of two equations:

1. \( 520 = 3.50m + 2.75p \)
2. \( 175 = m + p \)

From the second equation, we can express \( m \) in terms of \( p \): \( m = 175 - p \)

Step2: Substitute \( m \) into first equation

Substitute \( m = 175 - p \) into \( 520 = 3.50m + 2.75p \):

$$
LATEXBLOCK0
$$

Step3: Solve for \( p \)

Subtract \( 612.5 \) from both sides:

$$ 520 - 612.5 = -0.75p \\ -92.5 = -0.75p $$

Divide both sides by \( -0.75 \):

$$ p = \frac{-92.5}{-0.75} \approx 123.33 $$

Step4: Solve for \( m \)

Substitute \( p \approx 123.33 \) into \( m = 175 - p \):

$$ m = 175 - 123.33 = 51.67 $$

Answer:

\( m \approx 51.67 \), \( p \approx 123.33 \)