Explain how I set up this equation BUT don't solve it!!

Damari is selling popcorn for $3 a bag. He already has $40, and his goal is to earn $85 total. Use arithmetic to determine how many bags he needs to sell to make his goal.

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

Let's represent the number of bags Damari needs to sell as "x".

Damari already has $40, and each bag of popcorn is sold for $3. Therefore, the total amount he earns from selling x bags of popcorn would be 3x dollars.

His goal is to earn $85 in total. Thus, we can set up the following equation:

40 + 3x = 85

Here, 40 represents the money Damari already has, 3x represents the money he will earn from selling x bags of popcorn, and 85 represents his target earnings.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To set up the equation, let's assume the number of popcorn bags Damari needs to sell is "x". We can represent the total amount earned by selling "x" bags of popcorn as:

Total earnings = Amount earned before selling + (Price per bag * Number of bags sold)

Since Damari already has $40 before selling any bags and each bag sells for $3, the equation is:

85 = 40 + (3 * x)

This equation represents Damari's goal of earning $85 by selling popcorn bags.

Explain Bot Explain Bot answered
8 months ago

To set up the equation, we need to understand the relationship between the money Damari already has, the price of each bag of popcorn, and his goal earnings.

Let's break it down step by step:

1. Identify the information given:
- Damari has $40 already.
- The price of each bag of popcorn is $3.
- His goal is to earn $85 in total.

2. Define the variable:
- Let's use 'x' to represent the number of bags Damari needs to sell to reach his goal.

3. Set up the equation:
- The equation will express the relationship between Damari's current money, the number of bags he sells, and his goal earnings.
- Since he already has $40, he will earn an additional $3 for each bag he sells.
- So, the equation is: $40 + $3x = $85.

And there you have it! The equation to represent Damari's earnings goal is $40 + $3x = $85.

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