Mandy's Candies is most famous for their homemade fudge and homemade toffee. They make an average of 153 pounds of fudge and toffee combined each month. They sell a pound of fudge for $8.69 and a pound of toffee for $6.68. Mandy's averages $1,160.73 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?

they sold 69 pounds of fudge and 84 pounds of toffee in a month.

Step-by-step explanation:

Let x represent the number of pounds of fudge that Mandy's Candies sell in one month.

Let y represent the number of pounds of toffee that Mandy's Candies sell in one month.

They make an average of 153 pounds of fudge and toffee combined each month. This means that

x + y = 153

They sell a pound of fudge for $8.69 and a pound of toffee for $6.68. Mandy's averages $1,160.73 each month in fudge and toffee sales. This means that

8.69x + 6.68y = 1160.73- - - - - - - - -1

Substituting x = 153 - y into equation 1, it becomes

8.69(153 - y) + 6.68y = 1160.73

1329.57 - 8.69y + 6.68y = 1160.73

- 8.69y + 6.68y = 1160.73 - 1329.57

- 2.01y = - 168.84

y = - 168.84/ - 2.01

y = 84

x = 153 - y = 153 - 84

x = 69

step-by-step explanation: 2