Q14. - Algebra 1

Question

Write and evaluate an expression to find how much the cost of the food.

Step-by-Step Solution

Answer

The total cost of food =$\mathbf{\$}\mathbf{16}\mathbf{.75}$.

Step 1. Given information.

Koto purchased food for herself and her friends.

Cost of cheese burgers = $2.25

Cost of French fries = $1.25

Cost of 4 drinks = $4.00

Step 2. Define the variables.

Consider the number of cheeseburgers being x, the number of French fries is y.

 

Then,

Cost of x cheeseburgers = $2.25x

Cost of y French fries = $1.25y

Assume the total cost of the food be C.

Step 3. Write the equation.

The equation that represents the total cost of food is given in below.

$C=2.25x+1.25y+4$

Step 4. Solve the equation.

Substitute 4 for $x$ and 3 for $y$ in the equation $C=2.25x+1.25y+4$.

$\begin{array}{l}C=2.25x+1.25y+4\\ =2.25\left(4\right)+1.25\left(3\right)+4\\ =9+3.75+4\\ =\$16.75\end{array}$

Therefore, the total cost for the food is $\mathrm{\$}16.75$.