Question

The quotient of a number and 5 plus 25 is no more than 45. What are the possible values for the number?

Answer 1

The number can be any value less than or equal to 100.

Thus, it can be any number in this range: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100]

Explanation:

Firstly, let's convert the word problem into a math expression:

`(x)/(5)+25\leq45`

We can now solve this inequality for the variable x.

`(x)/(5) \leq 20`

`x \leq 100`.

Therefore x is any value less than or equal to 100.