The problem states that Debbie's family picks two types of apples: Golden Delicious and Honeycrisp. They pick a total of 42 pounds of apples, and the bag of Honeycrisp apples weighs 24 pounds. We are tasked with finding the weight $w$ of the Golden Delicious apples.

To set up an equation, we know:

• Total weight of apples: 42 pounds
• Weight of Honeycrisp apples: 24 pounds
• Weight of Golden Delicious apples: $w$

The total weight of the apples is the sum of the weights of the Golden Delicious and Honeycrisp apples. Therefore, we can write the following equation:

$w + 24 = 42$

Now, we solve for $w$:

$w = 42 - 24$

$w = 18$

Thus, the weight of the Golden Delicious apples is $18$ pounds.

Would you like more details or have any other questions?

Here are 5 related questions:

1. How would the equation change if the weight of Honeycrisp apples was 30 pounds?
2. What if the total weight of the apples was 50 pounds instead of 42?
3. How would you write an equation if you didn't know the weight of the Honeycrisp apples?
4. Can you set up an equation if the weight of the Golden Delicious apples is twice that of the Honeycrisp apples?
5. How would this problem change if they picked three types of apples?

Tip: When solving word problems, always identify what is given and what needs to be found first.