If you buy 3 t-shirts and buy a pair of $5 shorts. What is the relationship between the cost of t-shirts and the total amount spent? Write an algebraic equation showing this

Answer 1

If you buy 3 t-shirts and a pair of $5 shorts. What is the relationship between the cost of t-shirts and the total amount spent? Write an algebraic equation showing this.

What you are solving for:

1. The relationship between the cost of t- shirts and the total amount spent, expressed algebraically.

Highlights of the Problem:

1. Number of t -shirts purchased: 3
2. Cost of shorts: $5

How to Solve:

Express the total cost as a function of the cost of a single t-shirt.

1. Let t be cost of one t-shirt.
2. The total cost of t-shirts is 3t.
3. The total amount spent is the sum of the cost of t-shirts and the cost of shorts.

Step 1:

Calculate the total cost of the t-shirts.

1. The cost of one t-shirt is t.
2. The cost of 3 t-shirts is 3 x t = 3t.

Step 2:

Calculate the total amount spent.

1. The total amount spent is the cost of the t-shirts plus the cost of the shorts.
2. Total amount spent = 3t + 5

Final Answer:

The relationship between the cost of t-shirts and the total amount spent express in the algebraic equation is noted as (3t +5)

I hope the mathematic calculations (step by step approach) is helpful. Please contact me anytime for

additional questions or help in your academic study. If anyone in my neighborhood is interested

in setting up an in-person math tutoring session. I look forward to hearing from them.

Have an amazing day. Doris H.

Answer 2

Hello,

When doing these type of problems assign a variable to each of the parameters involved and also write a main equation that incorporates all those parameters to get to your final answer. After you lay out a general plan with the general parameters, then you can start to plug-in known numbers and work from there.

C = total cost of both the T-shirts and the

NT = number of T-shirts

CT = cost per T-shirt

NS = number of shorts

CS = cost per pair of shorts

Now let’s write the big picture equation with the assigned variables above

C = (NT) times (CT) + (NS) times (CS)

We we were given

NT = 3

The quantity (NS) times (CS) = 5

Now we substitute the knowns into our general equation and this will give us our final equation

C = 3 times (CT) + 5

I like setting these up this way with the initial general equation 1st and then if you want to switch the known and unknown parts around, you can do that without reinventing the wheel.

Please contact me if you need any further help. Thank you. Mike

Answer 3

Express the total cost as a function of the cost of a single t-shirt.

1. Let x be the cost of one t-shirt.
2. The total cost of t-shirts is 3x.
3. The total amount spent is the sum of the cost of t-shirts and the cost of shorts.

Step 1:

Calculate the total cost of the t-shirts.

1. The cost of one t-shirt is x.
2. The cost of 3 t-shirts is 3 x X = 3x

Step 2:

Calculate the total amount spent.

1. The total amount spent is the cost of the t-shirts and the shorts.
2. Total amount spent = 3x + 5

Final Answer:

The relationship between the cost of t-shirts and the total amount spent is 3x +5

I hope the mathematical calculations are helpful. Contact me if you need any additional help in math. Thanks, Brown.