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?

Respuesta :

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:  [tex]4.50x-100> 125[/tex]

Step-by-step explanation:

Suppose, the number of candles sold is [tex]x[/tex]

They spend $100 on the candles and sell them for $4.50 each.

So, the total selling price of [tex]x[/tex] candles [tex]=4.50x[/tex] dollars

and the profit will be:  [tex](4.50x-100)[/tex] dollars.

Given that, they need to make more than $125 profit.

So, the inequality will be:  [tex]4.50x-100> 125[/tex]

Solving the above inequality.......

[tex]4.50x-100>125\\ \\ 4.50x>125+100\\ \\ 4.50x>225\\ \\ x>\frac{225}{4.50}\\ \\ x>50[/tex]

As the number of candles can't be in fraction, that means the minimum number of candles, they must sell is 51.