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 and solve 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.Interpret the solution within the context of the problem. Describe your answer to the problem.

Answer 1

Let x be the number of cans of food, since we need more than or equal to 2000 cans, we can write

`x+668\ge2000`

where 668 is the number of cans that they have been collected.

Now, we must find x. If we move 668 to the right hand side as -668, we get

`\begin{gathered} x\ge2000-668 \\ \end{gathered}`

which gives

`x\ge1332`

this means that they must collect more than or equalt to 1332 cans of food.