According to the information given in the question, we are told that a chocolate chip cookie recipe requires 1 1/3 cups of flour to one cup of chocolate chips. This can be expressed as:
[tex]\begin{gathered} 1\frac{1}{3}flour=1cup\text{ of chips} \\ \frac{4}{3}\text{cups of flour=1cup of chips} \end{gathered}[/tex]If 1 2/3 cup of flour is used, the amount of chocolate chips that will be needed is expressed as:
[tex]\begin{gathered} 1\frac{2}{3}cups\text{ of flour=x cups of chips} \\ \frac{5}{3}\text{cups of flour=x cups of chips} \end{gathered}[/tex]Take the ratio of both sides of the two equations to have:
[tex]\begin{gathered} \frac{(\frac{4}{3})}{(\frac{5}{3})}=\frac{1}{x} \\ (\frac{4}{\cancel{3}}\times\frac{\cancel{3}}{5})=\frac{1}{x} \\ \frac{4}{5}=\frac{1}{x} \end{gathered}[/tex]Cross multiply
[tex]\begin{gathered} 4x=5\times1 \\ 4x=5 \\ x=\frac{5}{4}\text{cups of chocolate chips} \end{gathered}[/tex]This shows that 1 1/4 cups of chocolate chips will be needed according to the recipe
