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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

Respuesta :

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

[tex]4 \times t + 3 \times j = 181\\\\4t + 3j = 181 --------- eqn 1[/tex]

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

[tex]1 \times t + 2 \times j = 94\\\\t + 2j = 94 --------- eqn 2[/tex]

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

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