AA.16 Solve one-step equations: word problems

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On a sunny fall day, Jane 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 20 pounds. In all, Jane's family picks 44 pounds of apples.
Which equation can you use to find the weight w of the Golden Delicious apples?
Solve this equation for w to find the weight of the Golden Delicious apples.
pounds

1 answer

To find the weight \( w \) of the Golden Delicious apples, we can set up an equation based on the information provided.

We know:

  • The weight of the Honeycrisp apples is 20 pounds.
  • The total weight of the apples picked is 44 pounds.

Using this information, we can express the total weight of the apples in an equation:

\[ w + 20 = 44 \]

Here, \( w \) represents the weight of the Golden Delicious apples.

Now, let's solve for \( w \):

  1. Subtract 20 from both sides: \[ w = 44 - 20 \]

  2. Simplify: \[ w = 24 \]

So, the weight of the Golden Delicious apples is \( \boxed{24} \) pounds.