Organizers for a local race plan to provide 4 water bottles for each runner, 328 people have signed up to run in the race which of the following equations represent the this situation and what does the variable x represent
A) 328/x=4, x=number of water bottles needed my answer just check that all
B)x/328=4,x=total number of runners
C)x/4=328;x=total number of water bottles needed
D)4/x=328;x=total number of runners
look at the units.
4 bottles/runner
328 runners
so,
bottles/runner * runners = bottles
bottles / (bottles/runner) = runners
bottles / runners = bottles/runner
so, see which of those equations makes the units work out right
The correct equation that represents this situation is:
C) x/4 = 328, where x represents the total number of water bottles needed.
The correct equation that represents this situation is A) 328/x = 4. In this equation:
- 328 represents the total number of runners signed up for the race.
- x represents the number of water bottles needed per runner.
To understand why this equation is correct, let's break it down:
The equation 328/x = 4 states that the total number of runners divided by the number of water bottles per runner is equal to 4. This equation ensures that each runner receives 4 water bottles.
To solve the equation, we can cross-multiply:
328 * x = 4 * 1
This simplifies to:
328 * x = 4
To isolate x, divide both sides of the equation by 328:
x = 4/328
The variable x now represents the number of water bottles needed per runner. In this case, x equals 4/328, which is approximately 0.0122. Therefore, each runner needs approximately 0.0122 water bottles (which equates to approximately 1/82 of a water bottle).