Question

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 1

they will have to sell 50 candles

Answer 2

They must sell 51 candles to make more than $125 profit.

The inequality, we can use to find x is:
`4.50x-100> 125`

Explanation:

Suppose, the number of candles sold is
`x`

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

So, the total selling price of
`x` candles
`=4.50x` dollars

and the profit will be:
`(4.50x-100)` 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>(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.