Joel sells ice cream cones at the county fair. he has to rent the equipment for $49 and spend $.043 on ingredients for each one. How many ice cream cones must he sells at $1.10 each in order to make a profit? Write an inequality that represents how many ice cream cones must be sold to make a profit.
Thank you in advanced s:
i lke math.
To determine the number of ice cream cones Joel must sell to make a profit, we need to consider the costs and revenues involved.
Let's break down the costs:
- Equipment rental cost: $49
- Cost of ingredients per ice cream cone: $0.043
Now let's consider the revenue:
- Selling price per ice cream cone: $1.10
To calculate the profit, we subtract the total cost from the total revenue:
Profit = Revenue - Cost
The revenue is given by the selling price per cone multiplied by the number of cones sold:
Revenue = (Number of cones sold) * (Selling price per cone)
The cost is the sum of the equipment rental cost and the cost of ingredients for each cone multiplied by the number of cones sold:
Cost = Equipment rental cost + (Number of cones sold) * (Cost of ingredients per cone)
Based on this information, we can construct the inequality:
(Number of cones sold) * (Selling price per cone) > Equipment rental cost + (Number of cones sold) * (Cost of ingredients per cone)
Substituting the given values:
(Number of cones sold) * ($1.10) > $49 + (Number of cones sold) * ($0.043)
Rearranging and simplifying the inequality, we get:
(1.10 - 0.043) * (Number of cones sold) > $49
Simplifying further, we have:
(1.057) * (Number of cones sold) > $49
Thus, the inequality representing the number of ice cream cones Joel must sell to make a profit is:
1.057(Number of cones sold) > $49
The sales must exceed the cost.
sales on n cones = 1.1n
cost of n cones = 49 + .043n
So, you need
1.1n > 49 + .043n
1.057n > 49
n > 46.3
So, she must sell at least 47 cones to make a profit.
Ya I do like math but I don't do
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