Your class is selling gift wrap for a school fundraiser. One fourth of the money collected will be used to pay for the gift wrap. Your class wants to raise at least $675 after paying for the gift wrap. How much money does your class need to collect?

Question

Your class is selling gift wrap for a school fundraiser.  One fourth of the money collected will be used to pay for the gift wrap.  Your class wants to raise at least $675 after paying for the gift wrap.  How much money does your class need to collect?

anonymous · Answer

Let x = money collected 
Then 1/4 x = money used to pay for gift wrap 
and x - 1/4 x = money left over after paying for gift wrap 

We want at least $675 (i.e. ≥ $675) left over. So we set up inequality. 

x - 1/4 x ≥ 675 

Multiply both sides by 4: 
4x - x ≥ 2700 
3x ≥ 2700 

Divide both sides by 3 
x ≥ 900 

So class needs to collect at LEAST $900.