On a sunny fall day, Addison and her family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs $24$ pounds. In all, Addison's family picks $42$ pounds of apples. $\newline$ Which equation can you use to find the weight $w$ of the Golden Delicious apples? $\newline$ Choices: $\newline$ (A) $w - 24 = 42$ $\newline$ (B) $24w = 42$ $\newline$ (C) $w + 24 = 42$ $\newline$ (D) $\frac{w}{24} = 42$ $\newline$ Solve this equation for $w$ to find the weight of the Golden Delicious apples. $\newline$ ____ pounds $\newline$

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Q. On a sunny fall day, Addison and her family go to an orchard to pick apples for their famous apple pies. First, they pick enough Golden Delicious apples to fill a bag. Then, they pick enough Honeycrisp apples to fill another bag. The bag of Honeycrisp apples weighs

24

pounds. In all, Addison's family picks

42

pounds of apples.

\newline

Which equation can you use to find the weight

w

of the Golden Delicious apples?

\newline

Choices:

\newline

(A)

w - 24 = 42

\newline

(B)

24w = 42

\newline

(C)

w + 24 = 42

\newline

(D)

\frac{w}{24} = 42

\newline

Solve this equation for

w

to find the weight of the Golden Delicious apples.

\newline

____ pounds

\newline

Define weight of apples: Let's define the weight of the Golden Delicious apples as $w$ pounds. According to the problem, the total weight of the apples picked by Addison's family is $42$ pounds, which includes the weight of the Golden Delicious apples and the $24$ pounds of Honeycrisp apples. To find the weight of the Golden Delicious apples, we need to add the weight of the Golden Delicious apples ( $w$ ) to the weight of the Honeycrisp apples ( $24$ pounds) to get the total weight ( $42$ pounds). This can be represented by the equation $w + 24 = 42$ .
Find total weight equation: Now, we need to solve the equation $w + 24 = 42$ for $w$ . To do this, we subtract $24$ from both sides of the equation to isolate $w$ . $\newline$ $w + 24 - 24 = 42 - 24$ $\newline$ $w = 42 - 24$ $\newline$ $w = 18$
Solve for weight of Golden Delicious apples: We have found that the weight of the Golden Delicious apples is $18$ pounds. This means that the correct equation to use from the given choices is (C) $w + 24 = 42$ , and the weight $w$ of the Golden Delicious apples is $18$ pounds.