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Mandy's Candies is most famous for their homemade fudge and homemade toffee. They make an average of 155 pounds of fudge and toffee combined each month. They sell a pound of fudge for $8.40 and a pound of toffee for $7.28. Mandy's averages $1,212.40 each month in fudge and toffee sales. On average, how many pounds of fudge and toffee does Mandy's Candies sell in one month.

User Hammerfest
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2 Answers

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75 pounds of fudge 80 pounds of toffee
User He
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2 votes

Answer:

75 pounds of fudge & 80 pounds of toffee per month.

Explanation:

Let qty of fudge be x pounds & qty of toffee be y pounds per month

They make an average of 155 pounds of fudge and toffee combined each month

x+y=155 (1)

They sell a pound of fudge for $8.40 and a pound of toffee for $7.28. Mandy's averages $1,212.40 each month in fudge and toffee sales.

So the cost of monthly fudge&toffee is 8.40*x+7.28*y=1,212.40

8.40x+7.28y=1212.40 ;(2)

multiply eq (1) by 8.40 & then subtract 2 from 1

8.40x+8.40y=155*8.40

8.40x+8.40y=1,302 (1')

8.40x+7.28y=1212.40 ;(2)

-----------------------

(8.40-7.28)y=1,302-1,212.40

1.12y=89.60

y=89.60/1.12=80 pounds of toffee

In order to solve for x, take the value for y and substitute it back into either one of the original equations.

x+80=155

x=155-80=75 pounds

So they make 75 pounds of fudge & 80 pounds of toffee per month.

User Pooven
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