The drama club is selling candles for a fundraiser. They spend $100 on the candles and sell them for $4.50 each. How many candles must they sell to make more than $125 profit? Let x represent the number of candles sold. Which inequality can you use to find x?
Answer:
They must sell 51 candles to make more than $125 profit.
The inequality, we can use to find x is: @@MATH_TOKEN_0@@
Step-by-step explanation:
Suppose, the number of candles sold is @@MATH_TOKEN_1@@
They spend $100 on the candles and sell them for $4.50 each.
So, the total selling price of @@MATH_TOKEN_2@@ candles @@MATH_TOKEN_3@@ dollars
and the profit will be: @@MATH_TOKEN_4@@ dollars.
Given that, they need to make more than $125 profit.
So, the inequality will be: \(4.50x-100> 125\)
Solving the above inequality.......
\(4.50x-100>125\\ \\ 4.50x>125+100\\ \\ 4.50x>225\\ \\ x>\frac{225}{4.50}\\ \\ x>50\)
As the number of candles can't be in fraction, that means the minimum number of candles, they must sell is 51.