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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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Read 2 more answers

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(a)Increasing

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Given the function

N(t) = 5.85t³-23.43t²+45.06t+69.5, 0≤t≤4

(a)N(0)=5.85(0)³-23.43(0)²+45.06(0)+69.5=69.5

N(4)=5.85(4)³-23.43(4)²+45.06(4)+69.5=249.26

A function is increasing whenever x₁≤x₂, f(x₁)≤f(x₂).

Since in the interval (0,4), N(0)<N(4), we say the function is increasing.

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N'(t)=17.49t²-46.86t+45.06

If N'(t)=0,

17.49t²-46.86t+45.06=0

Solving the quadratic equation gives the values of t as:

t=1.3396-0.8842i

t=1.3396+0.8842i

We take the Real Part as our Minimum value,

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N'(t)=17.49(1)²-46.86(1)+45.06

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