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Lerok [7]
3 years ago
6

Emily and Molly are selling pies for a school fundraiser. Customers can buy cherry pies and lemon pies. Emily sold 4 cherry pies

and 1 lemon pie for a total of $30. Molly sold 8 cherry pies and 6 lemon pies for a total of $100. What is the cost for one CHERRY pie
Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

<h2>cherry pie = 5</h2><h2>lemon pie =10</h2>

Step-by-step explanation:

Step one:

let cherry be x

and lemon be y

the systems of the equation for the solution is given as

4x+y=30-----------1

8x+6y=100------2

Step two:

solve the equation simultaneously by substitution we have

4x+y=30

y=30-4x

put y=30-4x in equation 2

8x+6(30-4x)=100

8x+180-24x=100

8x-24x=100-180

-16x=-80

x=80/16

x=5

put x=4 in y=30-4x

y=30-4(5).

y=30-20

y=10

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<u>Step-by-step explanation:</u>

Step 1:

Given details are Total Income = $23,400

Step 2:

Amount spent for food, F= 1/4th of 23,400 = 1/4 \times 23400

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Step 3:

Amount spent for housing, H = 1/5th of 23,400 = 1/5 \times23400

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Step 4:

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Amount spent for taxes, T = 1/4th of 23,400 =  1/4 \times 23400 =$5850

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