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if a 5qt stew recipe calls for six potatoes, ten carrots, and 2lb of stew meat, how much of each will be needs for 2 gal of stew? Round the vegetables up to the next whole number

Answer :

[tex]\begin{gathered} 5qt=6p+10c+2lb(m) \\ \text{where:} \\ p=\text{potatoes} \\ c=\text{carrots} \\ m=\text{meat} \end{gathered}[/tex][tex]2gal\times\frac{4qt}{1gal}=8qt[/tex]

Therefore:

[tex]\begin{gathered} \frac{8}{5}(5qt)=\frac{8}{5}(6p+10c+2lb(m)) \\ 8qt=2gal=9.6p+16c+3.2lb(m) \\ 2gal=10p+16c+4lb(m) \end{gathered}[/tex]

It will need:

10 potatoes

16 carrots

4lb of stew meat

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