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Can someone explain this?

Can someone explain this?-example-1
User Compo
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1 Answer

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Answer:

The amount of salads sold that day were 93.

Explanation:

Information to note:

Salad = $6.50

Drinks = $2.00

Total amount sold = 209

Total amount of money gained = $836.50

Set the system of equation. Let salad = s, and drinks = d

s + d = 209

6.50s + 2d = 836.50

Isolate the variable s in the first equation. Note the equal sign, what you do to one side, you do to the other. Subtract d from both sides:

s + d = 209

s + d (-d) = 209 (-d)

s = 209 - d

Plug in the new expression for s into the second equation:

s = 209 - d

6.50s + 2d = 836.50

6.50(209 - d) + 2d = 836.50

Simplify. Isolate the variable, d. First, distribute 6.50 to all terms within the parenthesis:

6.50(209 - d) = 1358.5 - 6.50d

1358.5 - 6.50d + 2d = 836.50

Simplify. Combine like terms:

1358.5 + (-6.50d + 2d) = 836.50

1358.5 - 4.50d = 836.50

Isolate the variable, d. Note the equal sign, what you do to one side, you do to the other.

Subtract 1358.5 from both sides:

1358.5 (-1358.5) - 4.50d = 836.50 (-1358.5)

-4.50d = 836.50 - 1358.50

-4.50d = -522

Isolate the variable, d. Divide -4.50 from both sides:

(-4.50d)/-4.50 = (-522)/-4.50

d = -522/-4.50

d = 116

The amount of drinks sold were 116.

Plug in 116 for d in one of the equations:

s + d = 209

s + (116) = 209

Isolate the variable, s. Subtract 116 from both sides:

s + 116 (-116) = 209 (-116)

s = 209 - 116

s = 93

The amount of salads sold that day were 93.

~

User Pith
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