Question

O EQUATIONS AND INEQUALITIESSolving a word problem with two unknowns using a linear...

Answer 1

Given:

Total number of hamburgers and cheeseburgers sold = 439

There were 61 fewer cheeseburgers than hamburgers sold.

Let's determine the number of hamburgers sold.

Let C represent the number of cheeseburgers

Let H represent the number of hamburgers sold.

We have the system of equations:

• H + C = 439

,

• C = H - 61

Now, let's solve the equations simultaneously using the substitution method.

Substitute (H - 61) for C in the first equation.

We have:

H + (H - 61) = 439

H + H - 61 = 439

2H - 61 = 439

Add 61 to both sides:

2H - 61 + 61 = 439 + 61

2H = 500

Divide both sides by 2:

`\begin{gathered} (2H)/(2)=(500)/(2) \\ \\ H=250 \end{gathered}`

Therefore, they sold 250 hamburgers on Friday.

ANSWER:

250 hamburgers