Respuesta :

so, we know that, in 1oz of baked potato, there are 48.3 calories, ok..how many calories in 3 and 1/3 oz then?

now, bear in mind, we first convert the mixed fraction to "improper", and then use that,

[tex]\bf \begin{array}{ccll} \stackrel{\stackrel{baked}{potato}}{oz}&calories\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&48.3\\ 3\frac{1}{3}&p \end{array}\implies \cfrac{1}{3\frac{1}{3}}=\cfrac{48.3}{p}\implies \cfrac{\frac{1}{1}}{\frac{3\cdot 3+1}{3}}=\cfrac{48.3}{p}[/tex]

[tex]\bf \cfrac{\frac{1}{1}}{\frac{10}{3}}=\cfrac{48.3}{p}\implies \cfrac{1}{1}\cdot \cfrac{3}{10}=\cfrac{48.3}{p}\implies \cfrac{3}{10}=\cfrac{48.3}{p} \\\\\\ 3p=483\implies p=\cfrac{483}{3}\implies \boxed{p=\stackrel{calories}{161}}[/tex]

now, we know that in 1oz of chicken gas 24.6 calories, so, how many calories then in 5 and 1/4 oz?

 [tex]\bf \begin{array}{ccll} \stackrel{chicken}{oz}&calories\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 1&24.6\\ 5\frac{1}{4}&c \end{array}\implies \cfrac{1}{5\frac{1}{4}}=\cfrac{24.6}{c}\implies \cfrac{\frac{1}{1}}{\frac{5\cdot 4+1}{4}}=\cfrac{24.6}{c}[/tex]

[tex]\bf \cfrac{\frac{1}{1}}{\frac{21}{4}}=\cfrac{24.6}{c}\implies \cfrac{1}{1}\cdot \cfrac{4}{21}=\cfrac{24.6}{c}\implies \cfrac{4}{21}=\cfrac{24.6}{c} \\\\\\ 4c=516.6\implies c=\cfrac{516.6}{4}\implies \boxed{c=\stackrel{calories}{129.15}}[/tex]

so, how many calories in that meal?  well, p + c.