Question

Sherri and amanda are purchasing clothes at the clothes attic. sherri purchased 4 t-shirts and 3 sweaters for $181. amanda purchased 1 t-shirt and 2 sweaters for $94. write a system of equations that can be used to find t , the price of the t-shirts, and s , the price of the sweaters.

Answer 1

The system of equations are: 4t+3s=181 ; t+2s=94. Also, the price of one t-shirt is $16, and the price of one sweater is $39.

Let, t be the price of one t-shirt, and s be the price of one sweater.

For Sherri, who purchased 4 t-shirts and 3 sweaters for $181, the equation is:

4t+3s=181

For Amanda, who purchased 1 t-shirt and 2 sweaters for $94, the equation is:

t+2s=94

So, the system of equations representing the situation is:

4t+3s=181

t+2s=94

This system can be used to find the values of t and s, the prices of the t-shirts and sweaters, respectively.

We can solve this system using substitution or elimination. We'll use substitution here.

From the second equation, we can express t in terms of s:

t=94−2s

Now, substitute this expression for t into the first equation:

4 (94 − 2s) + 3s = 181

Simplify and solve for s:

=> 376 − 8s + 3s = 181

=> −5s = −195

=> s = 39

Now that we have s=39, substitute this value back into the second equation to find t:

t+2(39)=94

=> t+78=94

=> t=16

So, the solution to the system is t=16 and s=39.

Answer 2

To find the price of the t-shirts and sweaters, we can set up a system of equations using the given information and solve it.

Step-by-step explanation:

To write a system of equations that can be used to find the price of the t-shirts and sweaters, we can assign variables to the unknowns. Let's say t represents the price of a t-shirt and s represents the price of a sweater.

Based on the information given, we can set up two equations:

Equation 1: 4t + 3s = 181

Equation 2: t + 2s = 94

These equations represent the total cost of Sherri and Amanda's purchases. By solving this system of equations, we can find the values of t and s.