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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 2424 pounds. In all, Brandon's family picks 4242 pounds of apples.\newlineWhich equation can you use to find the weight ww of the Golden Delicious apples?\newlineChoices:\newline(A) 24w=4224w = 42\newline(B) w+24=42w + 24 = 42\newline(C) w−24=42w - 24 = 42\newline(D) w24=42\frac{w}{24} = 42\newlineSolve this equation for ww 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 2424 pounds. In all, Brandon's family picks 4242 pounds of apples.\newlineWhich equation can you use to find the weight ww of the Golden Delicious apples?\newlineChoices:\newline(A) 24w=4224w = 42\newline(B) w+24=42w + 24 = 42\newline(C) w−24=42w - 24 = 42\newline(D) w24=42\frac{w}{24} = 42\newlineSolve this equation for ww to find the weight of the Golden Delicious apples.\newline____ pounds\newline
  1. Write Equation: The correct equation to represent the situation is the total weight of the Golden Delicious apples ww plus the weight of the Honeycrisp apples 2424 pounds) equals the total weight of apples 4242 pounds). This can be written as:\newlinew+24=42w + 24 = 42
  2. Isolate Variable: Now, we solve the equation for ww. We need to isolate ww on one side of the equation. To do this, we subtract 2424 from both sides of the equation:\newlinew+24−24=42−24w + 24 - 24 = 42 - 24\newlineThis simplifies to:\newlinew=42−24w = 42 - 24
  3. Solve for Weight: Perform the subtraction to find the value of ww:w=18w = 18So, the weight of the Golden Delicious apples is 1818 pounds.

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