Question

1. a science fair has 405 projects. the coordinator displays the projects in rows of 42. how many rows have exactly 42 projects?

Explanation:

Step1: Understand the problem

We need to find how many rows of 42 projects fit into 405 total projects. This is a division problem, where we divide the total number of projects (405) by the number of projects per row (42) and find the quotient (the number of full rows).

Step2: Perform the division

We calculate \( 405 \div 42 \). Let's do the division: \( 42 \times 9 = 378 \) and \( 42 \times 10 = 420 \). Since \( 420 > 405 \), the largest integer \( n \) such that \( 42n \leq 405 \) is 9.

Answer:

9