Question

Each T-shirt sells for $8, and each long-sleeve shirt sells for $11. The swim team collected $310 for the 35 shirts that were sold. How many of each type of shirt were sold?

t = t-shirts & s = long sleeve shirts

Which system of equations could be used to solve this problem?

A. 8t + 11s = 310 t + s = 35

B. 11t + 8s = 310 t + s = 35

C. 11t + 8s = 35 t + s = 310

D. 8t + 11s = 35 t + s = 310

Answer 1

Number of T shirt sold = 25

Number of long-sleeve shirt sold = 10

Option A is the correct answer.

Explanation:

Let the number of T shirt be t and long-sleeve shirt be s.

We have cost of T shirt = 8$ and cost of long-sleeve shirt = 11 $.

Total number of shirts sold = 35

t + s = 35 -----------------------Equation 1

Dollar collected = 310 by selling 35 shirts = 310 $

8 t + 11 s = 310 -----------------------Equation 2

Equation 1 x 8

8 t + 8 s = 8 x 35 = 280 -----------------------Equation 3

Equation 2 - Equation 3

8 t + 11 s - 8 t - 8 s = 310 - 280 = 30

3 s = 30

s = 10

Substituting in equation 1

t + 10 = 35

t = 25

Equations are 8t + 11s = 310 and t + s = 35

Number of T shirt sold = 25

Number of long-sleeve shirt sold = 10

Option A is the correct answer.