Question

A chocolate Chip cookie recipe requires one and 1/3 cups of flour to one cup of chocolate chips if 1 2/3 cup of flour is used what quantity of chocolate chips will be needed according to the recipe

Answer 1

`1(1)/(4)cups\text{ of chocolate chips}`

Explanations:

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:

`\begin{gathered} 1(1)/(3)flour=1cup\text{ of chips} \\ (4)/(3)\text{cups of flour=1cup of chips} \end{gathered}`

If 1 2/3 cup of flour is used, the amount of chocolate chips that will be needed is expressed as:

`\begin{gathered} 1(2)/(3)cups\text{ of flour=x cups of chips} \\ (5)/(3)\text{cups of flour=x cups of chips} \end{gathered}`

Take the ratio of both sides of the two equations to have:

`\begin{gathered} (((4)/(3)))/(((5)/(3)))=(1)/(x) \\ (\frac{4}{\cancel{3}}*\frac{\cancel{3}}{5})=(1)/(x) \\ (4)/(5)=(1)/(x) \end{gathered}`

Cross multiply

`\begin{gathered} 4x=5*1 \\ 4x=5 \\ x=(5)/(4)\text{cups of chocolate chips} \end{gathered}`

This shows that 1 1/4 cups of chocolate chips will be needed according to the recipe