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2 years ago

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Ariana and Emily are both standing in line at Papa Joe’s Pizza. Ariana orders 4 large cheese pizzas and 1 order of breadsticks.

Her total before tax is $34.46. Emily orders 2 large cheese pizzas and 1 order of breadsticks. Her total before tax is $18.48. Determine the cost of 1 large cheese pizza and 1 order of breadsticks. Explain the method you used for solving this problem.

1 answer:

Eva8 [605]2 years ago

6 0

The cost of 1 large pizza is $7.99 and cost of one breadstick is $2.50

Elimination method was used.

Step-by-step explanation:

Let,

Cost of one large pizza = x

Cost of one breadstick = y

According to given statement;

4x+y=34.46 Eqn 1

2x+y=18.48 Eqn 2

Subtracting Eqn 2 from Eqn 1

$(4x+y)-(2x+y)=34.46-18.48\\4x+y-2x-y=15.98\\2x=15.98$

Dividing both sides by 2

$\frac{2x}{2}=\frac{15.98}\\x=7.99$

Putting x=7.99 in Eqn 2

$4(7.99)+y=34.46\\31.96+y=34.46\\y=34.46-31.96\\y=2.50$

The cost of 1 large pizza is $7.99 and cost of one breadstick is $2.50

Elimination method was used.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

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