Respuesta :
Answer:
$12.38
Step-by-step explanation:
Egg salad costs $2.25/halfpound * 2 = $4.50/pound.
Steve buys 2.75 pounds.
$4.50/pound * 2.75pounds = $12.375 => $12.38
let's firstly do some fractions conversion, the mixed one to an improper fraction and the decimal number to an improper fraction as well
[tex]\bf \stackrel{mixed}{2\frac{3}{4}}\implies \cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{11}{4}}~\hfill \stackrel{decimal}{2.\underline{25}}\implies \cfrac{225}{1\underline{00}}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \begin{array}{ccll} lbs&\$\\ \cline{1-2} \frac{1}{2}&\frac{9}{4}\\\\ \frac{11}{4}&x \end{array}\implies \cfrac{~~\frac{1}{2}~~}{\frac{11}{4}}=\cfrac{~~\frac{9}{4}~~}{x}\implies\cfrac{~~\frac{1}{2}~~}{\frac{11}{4}}=\cfrac{~~\frac{9}{4}~~}{\frac{x}{1}}\implies \cfrac{1}{2}\cdot \cfrac{4}{11}\cdot \cfrac{9}{4}\cdot \cfrac{1}{x} \\\\\\ \cfrac{2}{11}=\cfrac{9}{4x}\implies 8x=99\implies x=\cfrac{99}{8}\implies x = 12\frac{3}{8}\implies x=12.375[/tex]
