Question

If 5 shirts and 5 sweaters cost $205, and 6 shirts and 9 sweaters cost $294, what is the cost of one shirt and what is the
cost of one sweater?

Answer 1

Each shirt would cost $27

im not the best at math but i hope it helps

Answer 2

Answer:

one shirt 25.00 one sweater 16.00

Step-by-step explanation:

$\text{one shirt: }\$25,\text{ one sweater: }\$16$

Let x be the cost of one shirt and y be the cost of one sweater; then

5x+5y6x+9y=205=294

The augmented matrix for this system of equations is

[5659205294]

Using Gaussian elimination, divide row one by 5 to get

[161941294]

Multiply row one by −6 and add the result to row two to get

[10134148]

Divide row two by 3 to get

[10114116]

After back substitution, y=16 and x=25.