5. A box can hold a maximum of 60 comic books. If comic books are bundled together in groups of 8, write and solve an inequality to find the maximum number of bundles of comic books that the box can carry.
To find the maximum number of bundles of comic books that the box can carry, we need to determine the maximum number of comic books that can fit in the box, and then divide that number by the number of comic books in each bundle.
Let's start by finding the maximum number of comic books that can fit in the box. We know that the box can hold a maximum of 60 comic books. So, if we let x represent the number of comic books, the inequality can be written as:
x ≤ 60
Next, we need to divide the number of comic books by the number of comic books in each bundle. Since there are 8 comic books in each bundle, the inequality becomes:
x/8 ≤ 60/8
Simplifying:
x/8 ≤ 7.5
To find the maximum number of bundles of comic books that the box can carry, we need to find the largest whole number that satisfies this inequality. Thus, we can conclude that the maximum number of bundles of comic books that the box can carry is 7.
8 n ≤ 60
dividing by 8... n ≤ 7.5