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sladkih [1.3K]
2 years ago
10

I need help setting up this problem. Please help me out.

Mathematics
2 answers:
Ilia_Sergeevich [38]2 years ago
4 0

Answer:

  12 pounds

Step-by-step explanation:

One quantity is asked for, so it is convenient to let a variable represent that. We can use x to represent pounds of chocolate. Then the total cost of the mix is ...

  19.30·x + 3.50·18 = 9.82·(x +18) . . . . cost of chocolate + cost of trail mix

  9.48·x = 113.76 . . . . . . simplify, subtract 63+9.82x

  113.76/9.48 = x = 12 . . . . . . divide by the coefficient of x

The owner needs to mix 12 pounds of chocolate. (no rounding necessary)

Oduvanchick [21]2 years ago
4 0

Answer:  12 pounds

<u>Step-by-step explanation:</u>

Use Quantity x Cost. Create a table (multiply across and add down)

\begin {array}{l|c|c||l}&\underline{Quantity}&\underline{Cost}&\underline{\qquad Qty\times Cost\qquad }\\Chocolate&x&19.30&x(19.30)=19.30x\\\underline{Trail\ Mix}&\underline{\qquad 18\qquad }&\underline{\ 3.50\ }&\underline{\ 18(3.50)=63\qquad }\\Mixture&x+18&9.82&19.30x+63\\\end{array} \\\\\\\text{The Mixture line creates the equation:}

  (x + 18)(9.82) = 19.30x + 63

9.82x + 176.76 = 19.30x + 63          <em>distributed 9.82 into x+18</em>

             176.76 = 9.48x + 63         <em>subtracted 9.82x from both sides</em>

             113.76 = 9.48x                 <em>subtracted 63 from both sides</em>

                   12 = x                     <em>divided both sides by 9.48</em>

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