Questions: A county has 88 schools. The county received 992 new computers. Are there enough computers so that each school can get 11 new computers? Explain.

A county has 88 schools. The county received 992 new computers. Are there enough computers so that each school can get 11 new computers? Explain.
Transcript text: 10. Construct Arguments $A$ county has 88 schools. The county received 992 new computers. Are there enough computers so that each school can get 11 new computers? Explain.
failed

Solution

failed
failed

Solution Steps

To determine if each of the 88 schools can receive 11 new computers, we need to check if the total number of computers (992) is at least 88 times 11. If 88 times 11 is less than or equal to 992, then there are enough computers.

Step 1: Calculate Total Computers Needed

To find out if there are enough computers for each school, we first calculate the total number of computers needed. This is given by the expression:

\[ \text{Total Computers Needed} = \text{Number of Schools} \times \text{Computers per School} = 88 \times 11 = 968 \]

Step 2: Compare Available Computers with Needed Computers

Next, we compare the total number of new computers available (992) with the total number of computers needed (968):

\[ \text{Available Computers} = 992 \] \[ \text{Total Computers Needed} = 968 \]

Since \( 992 \geq 968 \), we conclude that there are enough computers.

Final Answer

Thus, there are enough computers for each school to receive 11 new computers. The answer is \\(\boxed{\text{True}}\\).

Was this solution helpful?
failed
Unhelpful
failed
Helpful