The math club is holding a fundraiser by selling pies. If they sell each pie for $12, how many pies do they need to sell if they want to make at least $500? Define a variable, then write and solve an inequality to represent this situation. SHOW YOUR WORK.
p = number of pies
12 p >/= 500
so
p >/= 500/12 = 41 2/3 pies
BUT no one bakes 2/3 of a pie
so
p >/= 42
Thanks so much, Damon!!
Let's define the variable "p" to represent the number of pies the math club needs to sell.
To find the total amount made by selling p pies, we multiply the number of pies (p) by the selling price ($12). So, the total amount made is given by 12p.
The problem states that the math club wants to make at least $500, so we can write the inequality:
12p ≥ 500
To solve this inequality for p, we divide both sides by 12:
12p/12 ≥ 500/12
p ≥ 41.67
Since the number of pies must be a whole number, we need to round up to the next whole number. Therefore, the math club needs to sell at least 42 pies to make at least $500.
To solve this problem, we can define a variable to represent the number of pies the math club needs to sell. Let's call this variable "x".
Since each pie is sold for $12, the total amount of money made from selling x pies can be represented by the expression 12x.
The problem states that the math club wants to make at least $500. Therefore, we can write the inequality:
12x ≥ 500
To solve for x, we need to isolate it on one side of the inequality. We can do this by dividing both sides of the inequality by 12:
(12x)/12 ≥ 500/12
Simplifying:
x ≥ 500/12
x ≥ 41.67
Since x represents the number of pies, it cannot be a decimal or fraction. We need to round up to the nearest whole number because they can't sell a partial pie.
Therefore, the math club needs to sell at least 42 pies to make at least $500.