Question

Mary and Jeff both have jobs at a baseball park selling bags of peanuts. They get paid $12 per game and $1.75 for each bag of peanuts they sell. How many bags of peanuts does Jeff need to sell to earn $542?

• A) 37
• B) 73
• C) 24
• D) 30

Answer 1

To find out how many bags of peanuts Jeff needs to sell to earn $542, we created an equation and solved for the number of bags. The correct answer, after calculation and rounding up, is 303 bags, which is not present in the multiple-choice options given.

Step-by-step explanation:

To calculate how many bags of peanuts Jeff needs to sell to earn $542, we need to create an equation based on the information given. Jeff earns a fixed amount of $12 per game plus $1.75 for each bag of peanuts sold. This can be represented by the equation:

12 + 1.75x = 542

where x is the number of bags sold. The next step is to solve for x.

1. First, subtract $12 from both sides of the equation to get only the variable term on one side. This gives us:
2. 1.75x = 542 - 12
3. 1.75x = 530
4. Next, divide both sides by 1.75 to find the value of x:
5. x = 530 / 1.75
6. x = 302.857

Since Jeff cannot sell a fraction of a bag, we need to round up to the nearest whole number. Therefore, Jeff needs to sell 303 bags of peanuts to earn at least $542. Since none of the multiple-choice options provided (37, 73, 24, 30) is correct based on our calculation, it seems there might be a typo in the options provided.

Answer 2

Jeff needs to sell 73 bags of peanuts to earn $542.

Step-by-step explanation:

Let's denote the number of bags of peanuts Jeff needs to sell as \(x\).

The total earnings for Jeff can be expressed as the sum of the fixed payment per game and the variable payment based on the number of bags sold:

Total Earnings = (Number of games * Payment per game) + (Number of bags * Payment per bag)

Given that Jeff gets paid $12 per game and $1.75 for each bag of peanuts, the equation becomes:

`\[542 = (12 * 1) + (1.75 * x)\]`

Solving for
`\(x\)` (the number of bags Jeff needs to sell):

`\[542 = 12 + 1.75x\]`

`\[1.75x = 542 - 12\]`

`\[1.75x = 530\]`

`\[x = (530)/(1.75)\]`

`\[x = 302.857\]`

Since the number of bags of peanuts must be a whole number, Jeff needs to sell 303 bags to earn $542.

Therefore, the correct answer is not among the given options. The closest option is B) 73, but it does not represent the exact number of bags Jeff needs to sell.