MATH SOLVE

2 months ago

Q:
# WILL GIVE BRAINLIEST ANSWER: In a certain clothing store, 3 shirts and 5 ties cost $60, and 2 shirts and 3 ties cost $39. What is the cost of each shirt? If s = the cost of a shirt and t = the cost of a tie, which system of equations represents the problem? 3t + 5s = 60 and 2t + 3s = 39 3s + 5t = 60 and 2s + 3t = 39 s + t = 60 and 5s + 8t = 99

Accepted Solution

A:

Answer:Option B is correct System of equation:3s + 5t = 602s + 3t =39Cost of each shirt is $ 15 Step-by-step explanation:Let s represents the cost of a shirt and t represents the cost of a ties.As per the given condition:For 3 shirts and 5 ties cost $ 60⇒ 3s + 5t = 60 and For 2 shirts and 3 ties cost $ 39⇒ 2s + 3t = 39Then, the system of equation which represents the problems :3s + 5t =60 ......[1]2s + 3t = 39 ......[2]To find the cost of each shirt;Multiply equation [1] by 3 to both sides and [2] by 5 we have;[tex]3 \cdot (3s + 5t)= 3 \cdot 60[/tex]Simplify:9s + 15 t = 180 ......[3][tex]5 \cdot (2s + 3t)= 5 \cdot 39[/tex]Simplify:10s + 15t = 195 ......[4]Solving equation [3] and [4] simultaneously we get;s = 15Therefore, the cost of each shirt is; $ 15.