Question

Steve goes to the deli to buy egg salad. He want to buy 2 and 3 fourths pounds . Half a pound cost $2.25 .how much does Steve spend on egg salad

Answer 1

let's firstly do some fractions conversion, the mixed one to an improper fraction and the decimal number to an improper fraction as well

`\bf \stackrel{mixed}{2(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`

`\bf \begin{array}{ccll} lbs&\$\\ \cline{1-2} (1)/(2)&(9)/(4)\\\\ (11)/(4)&x \end{array}\implies \cfrac{~~(1)/(2)~~}{(11)/(4)}=\cfrac{~~(9)/(4)~~}{x}\implies\cfrac{~~(1)/(2)~~}{(11)/(4)}=\cfrac{~~(9)/(4)~~}{(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(3)/(8)\implies x=12.375`

Answer 2

$12.38

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