Question

A system of equations is needed to find how many hamburgers, drinks, and fries were ordered, given the following information:

Equation 1:
1) The number of drinks ordered is four more than the number of hamburgers ordered.
Equation 2:
1) The number of drinks ordered is three times the number of fries ordered.
Equation 3:
1) Hamburger cost $5, drinks cost $1, and fries cost $3 each.
2) The total amount of money spent was $58.
Use the variables:
H = number of hamburgers ordered
D = number of drinks ordered
F = number of fries ordered

What are the equations for this system?

Answer 1

The system of equations for this scenario can be derived by using the given information as follows: D = H + 4 (equation 1), D = 3F (equation 2), and 5H + D + 3F = 58 (equation 3).

Step-by-step explanation:

The system of equations for this scenario can be derived from the given information:

Equation 1: The number of drinks ordered is four more than the number of hamburgers ordered. This can be written as D = H + 4.

Equation 2: The number of drinks ordered is three times the number of fries ordered. This can be written as D = 3F.

Equation 3: The total amount of money spent was $58. The cost of a hamburger is $5, a drink is $1, and fries are $3 each. This can be written as 5H + D + 3F = 58.

These three equations form a system of equations that can be used to solve for the values of H, D, and F.