Question

Kevin is buying water for his camping trip. He knows he needs at least 20 gallons of water for the trip. He already has five and a half gallons. The water comes in 32-fluid ounce (quarter-gallon) containers. What algebraic inequality represents this situation?

Answer 1

Answer: One-fourth x + 5 and one-half greater-than-or-equal-to 20

Explanation:

Answer 2

`5.5+0.25x\geq 20`

Explanation:

Kevin already has five and a half gallons of water for the trip

He knows he needs at least 20 gallons of water for the trip.

The water comes in 32-fluid ounce (quarter-gallon) containers.

1 fluid ounce =0.0078125 gallons

32-fluid ounce
`=32 * 0.0078125 =0.25`

Let x be the number 32-fluid ounce (quarter-gallon) containers required to have at least 20 gallons of water for the trip.

1 container contains 0.25 gallons of water

So, x container contains 0.25x gallons of water

So, Kelvin has total gallons of water =
`5.5+0.25x`

Since we are given that He knows he needs at least 20 gallons of water for the trip.

So,
`5.5+0.25x\geq 20`

Hence the algebraic inequality represents this situation is
`5.5+0.25x\geq 20`