Indigo and her children went into a restaurant and she bought $42 worth of hamburgers and drinks. Each hamburger costs $5.50 and each drink costs $2.25. She bought a total of 10 hamburgers and drinks altogether. Write a system of equations that could be used to determine the number of hamburgers and the number of drinks that Indigo bought. Define the variables that you use to write the system.

Question

Indigo and her children went into a restaurant and she bought $42 worth of hamburgers and drinks. Each hamburger costs $5.50 and each drink costs $2.25. She bought a total of 10 hamburgers and drinks altogether. Write a system of equations that could be used to determine the number of hamburgers and the number of drinks that Indigo bought. Define the variables that you use to write the system.

Answer 1

number of hamburgers --- h

number of drinks ----- d

h + d = 10
5.5h + 2.25d = 42

Answer 2

Let's define the variables:

Let "h" be the number of hamburgers that Indigo bought.
Let "d" be the number of drinks that Indigo bought.

Now we can write the system of equations:
- The cost of the hamburgers is $5.50 per hamburger, so the total cost of the hamburgers is 5.50h.
- The cost of the drinks is $2.25 per drink, so the total cost of the drinks is 2.25d.

We also know that Indigo bought a total of 10 hamburgers and drinks, so the equation for the total number of items is:
h + d = 10

Finally, the total cost of all the items is $42, so we have the equation:
5.50h + 2.25d = 42

So our system of equations is:
h + d = 10
5.50h + 2.25d = 42

Answer 3

Let's define the variables:

Let h = number of hamburgers bought
Let d = number of drinks bought

We can write the system of equations based on the information given:

1) The total cost of the hamburgers and drinks is $42:
5.50h + 2.25d = 42

2) The total number of hamburgers and drinks bought is 10:
h + d = 10

So, the system of equations is:
5.50h + 2.25d = 42,
h + d = 10.

Answer 4

To write a system of equations to determine the number of hamburgers and drinks that Indigo bought, we can define two variables:

Let's say:
x = number of hamburgers Indigo bought
y = number of drinks Indigo bought

Based on the given information, we can form the following equations:

1. The cost of hamburgers: Since each hamburger costs $5.50, the total cost of hamburgers can be calculated as 5.50x.

2. The cost of drinks: Since each drink costs $2.25, the total cost of drinks can be calculated as 2.25y.

3. The total amount spent: Indigo spent a total of $42, so the equation can be written as 5.50x + 2.25y = 42.

4. The total number of items bought: Indigo bought a total of 10 hamburgers and drinks combined, so the equation can be written as x + y = 10.

Therefore, the system of equations would be:
5.50x + 2.25y = 42
x + y = 10

Using these equations, we can solve for x and y to determine the number of hamburgers and drinks that Indigo bought.