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zhenek [66]
3 years ago
5

Two friends are going to the mall to buy pizza. One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75. Her frie

nd purchases 2 chese slices and 3 pepperoni slices for $15.00. Find the cost of each.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
6 0

Answer:

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

Step-by-step explanation:

Let the cost:

1 cheese slice = c

1 pepperoni slice = p

Two friends are going to the mall to buy pizza.

One of the friends buys 1cheese slice and 2 pepperoni slices for $8.75.

c + 2p = $8.75.....Equation 1

c = $8.75 - 2p

Her friend purchases 2 chese slices and 3 pepperoni slices for $15.00.

2c + 3p = $15.00.....Equation 2

We substitute 8.75 - 2p for c in Equation 2

2(8.75 - 2p) + 3p = $15.00

17.5 - 4p + 3p = 15

Collect like terms

- 4p + 3p = 15 - 17.5

-p = -2.5

p = $2.5

c = $8.75 - 2p

c = $8.75 - 2(2.5)

c = $8.75 - 5.0

c = $3.75

The cost of each:

1 cheese slice = c = $3.75

1 pepperoni slice = p = $2.5

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Step-by-step explanation:

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Apply the fraction rule:      \frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}

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\frac{4}{15}+\frac{1}{2}=\frac{23}{30}

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<h3>5:16</h3>

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