Question

Lucas has 89 new stamps to put in his stamp book. He wants to fill at least 7 pages, but no more than 9 pages. His goal is to put all of his new stamps in his stamp book, and to have the same number of new stamps on each page.

Can Lucas achieve his dual goal of placing all of his new stamps in his stamp book and having the same number of new stamps on each page?

Answer 1

Lucas can achieve his dual goal of placing all of his new stamps in his stamp book and having the same number of new stamps on each page by making sure the number of new stamps is divisible by the number of pages he wants to fill.

Step-by-step explanation:

Lucas can achieve his dual goal of placing all of his new stamps in his stamp book and having the same number of new stamps on each page. To do so, he would need to find a number of new stamps that is divisible by the number of pages he wants to fill, such that the quotient is a whole number. For example, if Lucas wants to fill 7 pages, he would need to have a multiple of 7 stamps. If he wants to fill 9 pages, he would need to have a multiple of 9 stamps. As long as the number of new stamps is divisible by the number of pages, Lucas can achieve his goal.