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?

Verified Answer :

they will have to sell 50 candles

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.