Question

which equation can you use to find the weight w of the golden delicious apples?
$20w = 44$
$w - 20 = 44$
$\frac{w}{20} = 44$
$w + 20 = 44$
solve this equation for w to find the weight of the golden delicious apples.
______ pounds

Explanation:

First Sub - Question (Choosing the correct equation)

We assume that there is a total weight of 44 pounds and another type of apples (maybe Red Delicious) weighs 20 pounds. To find the weight \( w \) of Golden Delicious apples, we use the addition relationship (since total weight is the sum of the two types of apples' weights). So the equation should be \( w + 20=44 \).

Step 1: Isolate \( w \)

To solve for \( w \) in the equation \( w + 20=44 \), we subtract 20 from both sides of the equation. The subtraction property of equality states that if \( a + b=c \), then \( a=c - b \). So we have \( w+20 - 20=44 - 20 \).

Step 2: Calculate the result

Simplifying both sides, \( w=44 - 20 \), and \( 44-20 = 24 \).

Answer:

\( w + 20 = 44 \)

Second Sub - Question (Solving the equation \( w + 20=44 \) for \( w \))