Note: Enter your answer and show all the stops that you use to solve this problem in the space provided It costs $100 to join a fitness center plus a monthly fee. You spent $700 last year at the fitness center How much was the monthly fee? Write and solve an algebraic equation to determine the monthly fee
Let's call the monthly fee "x".
We know that it costs $100 to join the fitness center plus the monthly fee, so the total cost for 1 year (12 months) is:
$100 + 12x
We also know that the total amount spent in 1 year was $700, so we can set up an equation:
$100 + 12x = $700
Now we can solve for x:
$12x = $600
x = $50
Therefore, the monthly fee was $50.
Stops:
1. Identify the problem and what is being asked
2. Define the monthly fee as "x"
3. Write an equation based on the given information
4. Solve for x by simplifying the equation
5. Check the answer to make sure it makes sense in the context of the problem.
Can you help with this one too?
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You have $5 for lunch. Your bought a turkey sandwich for $2.25. A. Write n inequality that represents how much more money you can spend. B. Solve you inequality.
A. We want to write an inequality to represent how much more money we can spend, given that we have $5 and we spent $2.25 on a turkey sandwich. Let's call the additional amount we can spend "x".
We know that our total spending cannot exceed $5, so we can set up an inequality:
2.25 + x ≤ 5
B. Now we can solve for x:
2.25 + x ≤ 5
x ≤ 5 - 2.25
x ≤ 2.75
Therefore, we can spend up to $2.75 more on lunch.
Steps:
A. Define the additional amount we can spend as "x" and set up an inequality based on the given information.
B. Solve for "x" by isolating it on one side of the inequality.
C. Check the answer to make sure it makes sense in the context of the problem.