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Mandy's Candies is most famous for their homemade fudge and homemade toffee. They make an average of 151 pounds of fudge and toffee combined each month. They sell a pound of fudge for $9.74 and a pound of toffee for $6.76. Mandy's averages $1,217.44 each month in fudge and toffee sales. On average, how many pounds each of fudge and toffee does Mandy's Candies sell in one month?

Respuesta :

Answer:mandiy sells 66 pounds of fudge and 85 pounds of toffees

Step-by-step explanation:

Let x represent the number of pounds of fudge that Mandy sells in one month.

Let y represent the number of pounds of toffees that Mandy sells in one month.

They make an average of 151 pounds of fudge and toffee combined each month. This means that

x + y = 151

They sell a pound of fudge for $9.74 and a pound of toffee for $6.76. It means that x pounds of fudge will cost $9.74x and y pounds of toffees will cost $6.76y

Mandy's averages $1,217.44 each month in fudge and toffee sales. It means that

9.74x + 6.76y = 1217.44 - - - - - - - 1

Substituting x = 151 - y into equation 1, it becomes

9.74(151 - y) + 6.76y = 1217.44

1470.74 - 9.74y + 6.76y = 1217.44

- 9.74y + 6.76y = 1217.44 - 1470.74

- 2.98y = - 253.3

y = - 253.3/-2.98

y = 85

x = 151 - y = 151 - 85

x = 66

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