Respuesta :
Answer: 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
Answer:
63 fudge; 93 toffee
Step-by-step explanation:
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Develop two equations from the given information.
Let f equal the number of pounds of fudge and t equal the number of pounds of toffee.
f + t = 156
9.64f + 6.88t = 1,277.52
Solve for one of the variables in one of the equations.
f + t = 156
t = 156 - f
Substitute that equation for t into the other equation.
9.64f + 6.88t = 1,277.52
9.64f + 6.88(156 - f) = 1,277.52
9.64f + 1,073.28 - 6.88f = 1,277.52
2.76f + 1,073.28 = 1,277.52
2.76f = 204.24
f = 74
Now use the value for f to solve for t.
t = 156 - f
t = 156 - 74
t = 82
Therefore, Mandy's Candies sells 74 pounds of fudge and 82 pounds of toffee in one month
