Christopher went into a restaurant and bought 5 hamburgers and 10 drinks, costing a total of $52.50. Wyatt went into the same restaurant and bought 2 hamburgers and 9 drinks, costing a total of $31. Write a system of equations that could be used to determine the price of each hamburger and the price of each drink. Define the variables that you use to write the system.

The cost of a hamburger is = $6.50

The cost of a drink is = $2.00

Let the cost of a hamburger is = $x

The cost of a drink is = $y

According to the question:

5x+10y=52.50

2x+9y=31

solving them we get: x=6.50 and y=2.00

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Hamburger: $6.5

Drink ;$2

Step-by-step explanation:

Hi, we have to write an equation for each one

Christoper

Where :

h = price of a hamburger

d = price of a drink

Wyatt:

Now we have the system of equations:

5h+10d=52.50(1)

2h+9d=31 (2)

Isolating "h" from (1)

5h = 52.50 -10d

h = (52.50 -10d)/5

h = 10.5 -2d

Replacing "h" in (2)

2h+9d=31

2(10.5-2d) +9d=31

21 -4d +9d=31

-4d+9d=31-21

5d= 10

d= 10/5

d= $2

Finally, replacing d in (1)

5h+10d=52.50

5h+10(2) =52.50

5h+20=52.50

5h=52.50-20

5h=32.50

h= 32.50/5

h=$6.5

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer