Question

Cassie bought 3 t-shirts and 2 pairs of shorts for $31. Lorena bought 4 t-shirts and 1 pair of shorts for $28. What was the cost of the shorts?

A. $6
B. $7
C. $8
D. $9

Answer 1

To find the cost of the shorts, set up a system of equations using the given information. Solve the system of equations to find the cost of the shorts. The cost of the shorts is $5.

Step-by-step explanation:

To find the cost of the shorts, we can set up a system of equations using the given information. Let's represent the cost of a t-shirt as T and the cost of a pair of shorts as S.

From the first equation, we have 3T + 2S = 31. From the second equation, we have 4T + S = 28.

We can solve this system of equations using substitution or elimination. Solving for T in the second equation gives T = 7. Substituting this value into the first equation gives 3(7) + 2S = 31.

Simplifying the first equation gives 21 + 2S = 31. Subtracting 21 from both sides gives 2S = 10. Dividing both sides by 2 gives S = 5.

So, the cost of the shorts is $5. Therefore, option A, $6, is the correct answer.