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Question

at a store joseph bought 4 t-shirts and 3 pairs of jeans for $181.at the same store tania bought 1 t-shirt and 2 pairs of jeans for $94. the t-shirts were all the same priceand the jeans were all the same price. Find the priceof a t-shirt and a pair of jeans

Answer 1

Let T be the price of a pair of a t-shirt

Let J be the price of a pair of jeans

Joseph bought 4 t-shirts and 3 pairs of jeans for $181.

This translates to 4 * T + 3 * J = 181

Tania bough 1 t-shirt and 2 pair of jeans for $94.

This translates to T + 2*J = 94

This gives us a system of equations with two equations and two unknowns (T & J)

4T + 3J = 181

T + 2J = 94

We can solve for T in the second equation:

T = 94-2J

And substitute it for T in the first equation:

4(94-2J) + 3J = 181

then solve for J:

376 - 8J + 3J = 181

-5J = -195

J = 39

Substituting the value of J in the second equation:

T + 2J = 94

T + 2(39) = 94

T = 16

Thus the price of jeans is $39 and the price of t-shirt is $16