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 is x?

Answer 1

SOLUTION

GIVEN

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.

TO DETERMINE

• The algebraic inequality represents this situation

• The value of x

EVALUATION

Here it is given that

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.

Here five and a half gallons = 5.5 gallons

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

Let x be the number of such containers

Now 1 fluid ounce = 0.007812 gallons

32-fluid ounce

= 32 × 0.007812 gallons

= 0.25 gallons

So by the given condition

$\sf{5.5 + 0.25x \geqslant 20}$

Which is the required inequality

We now solve for range of x

$\sf{5.5 + 0.25x \geqslant 20}$

$\sf{ \implies \: 0.25x \geqslant 14.5}$

$\sf{ \implies \: x \geqslant \: 58}$

Hence the required minimum value of x = 58

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Check whether the half plane x+2y ≥ 4 contains origin

https://brainly.in/question/33659939

2. Bananas cost $0.75 per pound. If C represents cost and P represents the number of pounds, which of the following equations

https://brainly.in/question/29910095