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

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OrethaWilkison OrethaWilkison · Answer 1 · 2018-12-02T15:52:48+01:00

Answer:

Option B is correct

System of equation:

3s + 5t = 60

2s + 3t =39

Cost 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 = 39

Then, 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 = 15

Therefore, the cost of each shirt is; $ 15.