You buy one shirt for $22 and two pairs of shorts. Your total cost is $56. Assuming both pairs of shorts cost the same amount, what is the price of one pair of shorts? What is the correct equation and solution for this problem? A. 2 x - $22 = $56; x = $34 B. 2 x + $22 = $56; x = $34 C. 2 x + $22 = $56; x = $17 D. 2 x - $22 = $56; x = $17

B. 2x + $22 = $56 ; x = $17

Step-by-step explanation:

Assuming a pair of short is accounted for by the variable x.

Your total cost is $56. This means that your expression will equal 56:

= 56

Next, you buy 1 shirt (denoted by s) for $22.

s = $22

You buy 2 pairs of pants. The cost is not given, so it can vary. Give it a variable. The answers denote it as x. As you are buying two pairs of pants, multiply 2 with x:

2 * x = 2x.

Combine the terms and plug it into the equation:

2x + 22 = 56

Next, solve for x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Remember,  PEMDAS is the order of operation, &

PEMDAS =

Parenthesis

Exponents & Roots

Multiplication

Division

Addition

Subtraction

First subtract 22 from both sides:

2x + 22 (-22) = 56 (-22)

2x = 56 - 22

2x = 34

Next, divide 2 from both sides:

(2x)/2 = (34)/2

x = 34/2

x = $17

B. 2x + $22 = $56 ; x = $17 is your answer.

~

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step-by-step explanation: