MATH SOLVE

3 months ago

Q:
# A sauce recipe uses 4 cans of tomatoes in every 212 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 simplest form.

Accepted Solution

A:

Answer:[tex]1\frac{3}{5}\ cans[/tex]Step-by-step explanation:The correct question isA sauce recipe uses 4 cans of tomatoes in every 2 1/2 quarts.
How many cans of tomatoes are used in each quart of the sauce?Letx ----> the number of cans of tomatoeswe know that[tex]2\frac{1}{2}\ quarts=\frac{2*2+1}{2}=\frac{5}{2}\ quarts[/tex]using proportion[tex]\frac{4}{(5/2)}\frac{cans}{quarts}=\frac{x}{1}\frac{cans}{quart}\\\\x=4/(5/2)\\\\x=\frac{8}{5}\ cans[/tex]Convert to mixed number[tex]\frac{8}{5}\ cans=\frac{5}{5}+\frac{3}{5}=1\frac{3}{5}\ cans[/tex]