Question

At a sale, Salazar bought 4 T-shirts and 3 pairs of jeans for $181. At the same store, Jenna bought 1 T-shirt and 2 pairs of jeans for $94. The T-shirts were all the same price, and the jeans were all the same price. Write a system of equations that can be used to represent this situation

Answer 1

To represent this situation, we can introduce two variables: the price of a t-shirt and the price of a pair of jeans. We can then write two equations based on the given information.

Step-by-step explanation:

To represent this situation, we can introduce two variables: let's call the price of a t-shirt 't' and the price of a pair of jeans 'j'.

For Salazar, who bought 4 t-shirts and 3 pairs of jeans for $181, we can write the equation:

4t + 3j = 181

For Jenna, who bought 1 t-shirt and 2 pairs of jeans for $94, we can write the equation:

t + 2j = 94

These are the two equations that can be used to represent the situation.

Answer 2

4t + 3j = 181 and t + 2j = 94 represents the system of equations that can be used to represent this situation

Solution:

Let "t" be the cost of each t - shirt

Let "j" be the cost of each pair of jean

At a sale, Salazar bought 4 T-shirts and 3 pairs of jeans for $181

Therefore, we can frame a equation as:

4 T-shirts x cost of each t - shirt + 3 pairs of jeans x cost of each pair of jean = 181

`4 * t + 3 * j = 181\\\\4t + 3j = 181 --------- eqn 1`

At the same store, Jenna bought 1 T-shirt and 2 pairs of jeans for $94

Therefore, we can frame a equation as:

1 T-shirts x cost of each t - shirt + 2 pairs of jeans x cost of each pair of jean = 94

`1 * t + 2 * j = 94\\\\t + 2j = 94 --------- eqn 2`

Thus eqn 1 and eqn 2 represents the system of equations that can be used to represent this situation