www-awu.aleks.com ALers A ALEks - Dixie Flores - Learn Ellucian Ethos Identity Content TimelyMath Linear Equations and Inequalities Solving a word problem with two unknowns using a linear equation A local hamburger shop sold a combined total of 706 hamburgers and cheeseburgers on Friday. There were 56 mor many hamburgers were sold on Friday? $$ \square $$ hamburgers

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To solve the problem, we need to set up a system of equations based on the information provided.

### Known Conditions:
1. The total number of hamburgers and cheeseburgers sold is 706.
2. There were 56 more hamburgers sold than cheeseburgers.

### Step 1: Define Variables
Let:
- $$ h $$ = number of hamburgers sold
- $$ c $$ = number of cheeseburgers sold

### Step 2: Set Up Equations
From the information given, we can create the following equations:

1. The total sold equation:
   $$
   h + c = 706
   $$

2. The relationship between hamburgers and cheeseburgers:
   $$
   h = c + 56
   $$

### Step 3: Substitute and Solve
We can substitute the second equation into the first equation to solve for one variable.

Substituting $$ h $$ in the first equation:
$$
(c + 56) + c = 706
$$

This simplifies to:
$$
2c + 56 = 706
$$

Now, we will solve for $$ c $$:
$$
2c = 706 - 56
$$
$$
2c = 650
$$
$$
c = 325
$$

### Step 4: Find the Number of Hamburgers
Now that we have $$ c $$, we can find $$ h $$:
$$
h = c + 56 = 325 + 56 = 381
$$

### Final Answer
The number of hamburgers sold on Friday is $$ \boxed{381} $$.
381 hamburgers were sold on Friday.

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