On a sunny fall day, Brandon and his 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, Brandon'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) $24w = 42$ $\newline$ (B) $w + 24 = 42$ $\newline$ (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, Brandon and his 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, Brandon'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)

24w = 42

\newline

(B)

w + 24 = 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

Write Equation: The correct equation to represent the situation is the total weight of the Golden Delicious apples $w$ plus the weight of the Honeycrisp apples $24$ pounds) equals the total weight of apples $42$ pounds). This can be written as: $\newline$ $w + 24 = 42$
Isolate Variable: Now, we solve the equation for $w$ . We need to isolate $w$ on one side of the equation. To do this, we subtract $24$ from both sides of the equation: $\newline$ $w + 24 - 24 = 42 - 24$ $\newline$ This simplifies to: $\newline$ $w = 42 - 24$
Solve for Weight: Perform the subtraction to find the value of $w$ : $w = 18$ So, the weight of the Golden Delicious apples is $18$ pounds.