Answer: 6 lbs
Step-by-step explanation:
Create a table of quantity, percent, and total. Create the equation by adding down and multiplying across. Then solve for the missing quantity.
[tex]\begin {array}{c|c|c||c}&\underline{Quantity}&\underline{\%\ Syrup\ }&\underline{\ Qty\times \%\ Syrup\ }\\Syrup&24&20\% =0.20&24(0.20)=4.8\\\underline{\ Water\ }&\underline{\qquad x\qquad }&0\% =0&\underline{\qquad x(0)=0\qquad }\\Mixture&24+x&16\% =\ 0.16&\qquad \qquad 4.8+0\\\end{array}\\\\\\(24+x)(0.16)=4.8\\\\3.84+0.16x=4.8\\\\0.16x=0.96\\\\\\\dfrac{0.16x}{0.16}=\dfrac{0.96}{0.16}\\\\\\x=6[/tex]
