Question

Large drinks cost $2.75 each and medium drinks cost $2.15 each. A restaurant sold 52 drinks yesterday and took in a total of $131.60. How many medium drinks did they sell? Show work

Answer 1

Given:

Large drink cost $ 2.75.

Let x be the number of large drinks.

Let y be the number of medium drinks and it cost $2.15 each.

A restaurant sold 52 drinks yesterday and took in a total of $131.60.

The equations are,

$\begin{gathered} x+y=52\ldots\ldots\ldots.....\ldots\ldots\ldots.....(1) \\ 2.75x+2.15y=131.60\ldots.\ldots..\ldots\ldots\ldots\text{.}(2) \end{gathered}$

Solve the equations,

From equation 1)

$\begin{gathered} x+y=52 \\ x=52-y \\ \text{Put it in equation 2)} \\ 2.75(52-y)+2.15y=131.60 \\ 143-2.75y+2.15y=131.60 \\ 143-131.60=0.6y \\ 11.4=0.6y \\ y=\frac{11.4}{0.6} \\ y=19 \end{gathered}$

Put the value of y in equation 1)

$\begin{gathered} x+y=52 \\ x+19=52 \\ x=52-19 \\ x=33 \end{gathered}$

Answer: The number of medium drink sells are y = 19.