Question

Ms Sophie has 24 lbs of 20% sugar syrup. How much pure water should she add to make 16% sugar syrup?

Answer 1

Answer: 6 lbs

idk what to write

Answer 2

Answer: 6 lbs

Explanation:

Create a table of quantity, percent, and total. Create the equation by adding down and multiplying across. Then solve for the missing quantity.

`\begin {array}c&\underline{Quantity}&\underline{\%\ Syrup\ }&\underline{\ Qty* \%\ 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\\\\\\(0.16x)/(0.16)=(0.96)/(0.16)\\\\\\x=6`