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soldier1979 [14.2K]
2 years ago
9

Naomi and Stefan are selling pies for a school fundraiser. Customers can buy cherry pies and pumpkin pies. Naomi sold 11 cherry

pies and 4 pumpkin pies for a total of
$208. Stefan sold 13 cherry pies and 12 pumpkin pies for a total of $384. Write the
system of equations that would allow you to determine the cost each of one cherry
pie (c) and one pumpkin pie (p)?

Mathematics
1 answer:
dolphi86 [110]2 years ago
3 0

The answer is the first option

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Show work / explain it ​
aivan3 [116]
Answer:
X 1 = -4,X 2 =12

EXPLANATION:

Determine the defined range
X+6/x=6/x-8,x#0,x#8

Simplify the equation using cross-multiplication
(X+6) x (x-8)=6x

Move variable to the left-hand side and change its sign
(X-6)x(x-8)-6x=0

Multiply the parentheses
X^2-8x+6x-48-6x=0

Since two opposites add up to zero, remove them from the expression
X^2-8x-48=0

Write -8x as a difference
X^2+4x-12x-48=0

Factor out x from the expression
Xx(x+4)-12x-48=0

Factor out -12 from the expression
Xx(x+4)-12(x+4)=0

Factor out from the expression
(x+4)x(x-12)=0

When the product of factors equals 0, at least one factor is 0
x+4=0
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Solve the equation for x
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Check if the solution is in the defined range
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The equation has 2 solutions

X 1 = -4,X 2 =12

Hope this helps


3 0
3 years ago
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