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IgorC [24]
3 years ago
9

Casey orders 3 pizzas and 2 orders of breadsticks for a total of $29.50. Rachel orders 2 pizzas and 3 orders of breadsticks for

a total of $23. How much does a pizza cost?
Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

The cost of one pizza is $8.5

Step-by-step explanation:

Let,

Cost of one pizza = x

Cost of one bread stick = y

According to given statement;

3x+2y=29.50    Eqn 1

2x+3y=23          Eqn 2

Multiplying Eqn 1 by 2

2(3x+2y=29.50)\\6x+4y=59\ \ \ Eqn\ 3

Multiplying Eqn 2 by 3

3(2x+3y=23)\\6x+9y=69\ \ \ Eqn\ 4

Subtracting Eqn 3 from Eqn 4

(6x+9y)-(6x+4y)=69-59\\6x+9y-6x-4y=10\\5y=10

Dividing both sides by 5

\frac{5y}{5}=\frac{10}{5}\\y=2

Putting y=2 in Eqn 1

3x+2(2)=29.50\\3x+4=29.50\\3x=29.50-4\\3x=25.5

Dividing both sides by 3

\frac{3x}{3}=\frac{25.5}{3}\\x=8.5

The cost of one pizza is $8.5

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/11470904
  • brainly.com/question/11549940

#LearnwithBrainly

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