Question

Lincoln middle school plans to collect more than 2,000 cans of food in a food drive. So far, 668 cans have been collected. WRITE AN INEQUALITY to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. IDENTIFY WHAT YOUR VARIABLE REPRESNTS.

Answer 1

`7x+668>2000`

Explanation:

Given:

Lincoln middle school plans to collect more than 2,000 cans of food

They have already collected 668 cans

To Find: WRITE AN INEQUALITY to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal.

Solution :

Let x be the number of cans collected on each day.

Cans collected on 7 days = 7x

Since they already collected 668 cans

So they have total cans = 7x+668

We are given that they are required to collect more than 2000 cans

⇒
`7x+668>2000`

Thus this is the required inequality to find the numbers of cans collect on each final 7 days of drive

Now,
`7x+668>2000`

⇒
`7x>2000-668`

⇒
`7x>1332`

⇒
`x>(1332)/(7)`

⇒
`x>190.28`

Thus they require to collect more than approx. 191 cans each day