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

Question

3 years ago

9

a total of $23. How much does a pizza cost?

1 answer:

saveliy_v [14] · Answer 1 · 2022-06-24T03:26:59+03:00

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

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