a soda and a hamburger cost $20 at a restaurant. The hamburger costs $10 more than the soda. Find the price of each.

Soda cost $5

Hamburger cost $15

Step-by-step explanation:

Let the price of soda be A and that of hamburger be B

From the question, a soda and hamburger cost $20 at a restaurant.

That's

A + B = $20

Also, the hamburger costs $10 more than the soda

That's

B = A + $10

We now have two equations

Equation 1 : A + B = 20

Equation 2: B = A + 10

Now substitute A + 10 for B in equation 1.

We have

A + A + 10 = 20

2A + 10 = 20

Subtract 10 from both sides

2A + 10 - 10 = 20 - 10

2A = 10

Divide both sides by 2

A = 10/2

A = 5

A soda cost $5

Now substitute 5 For A in equation 2 to get B

B = 10 + A

B = 10 + 5

B = 15

B = $15

A soda cost $5 while the hamburger cost $15