Question

A sauce recipe uses $4$ cans of tomatoes in every $2\frac{1}{2}$quarts. how many cans of tomatoes are used in each quart of the sauce? Enter your answer in the box as a mixed number in the simplest form.

Answer 1

Find the number of cans of tomatoes used in each quart of the sauce:

Given that A sauce recipe uses $4$ cans of tomatoes in every $2\frac{1}{2}$quarts.

Let the number of cans required for 1 quarts be $x$.

Use proportion to find the value of $x$.

This can be done as follows:

$\begin{array}{rcl}\frac{4}{x}& =& \frac{2{\displaystyle \frac{1}{2}}}{1}\\ & \Rightarrow & \frac{4}{x}=\frac{{\displaystyle \frac{5}{2}}}{1}\\ & \Rightarrow & \frac{4}{x}=\frac{5}{2}\\ & \Rightarrow & x=\frac{8}{5}\\ & \Rightarrow & x=1\frac{3}{5}\end{array}$

Hence, number of can required per quarts is $\mathbf{1}\frac{\mathbf{3}}{\mathbf{5}}\mathbf{.}$