Answer: 12 pounds
Step-by-step explanation:
Use Quantity x Cost. Create a table (multiply across and add down)
[tex]\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:}[/tex]
(x + 18)(9.82) = 19.30x + 63
9.82x + 176.76 = 19.30x + 63 distributed 9.82 into x+18
176.76 = 9.48x + 63 subtracted 9.82x from both sides
113.76 = 9.48x subtracted 63 from both sides
12 = x divided both sides by 9.48
