The Citation Sovereign is a small jet that can carry up to 2650 pounds. The number of
passengers, p, and the number of suitcases, c, that the airplane can carry are estimated by the
equation 180p + 60c = 2650. If 10 people board the aircraft, how many suitcases can the airplane
carry?
14
180(10) + 60c = 2650
Solve for c.
To find the number of suitcases the airplane can carry when 10 people board the aircraft, we need to solve the given equation 180p + 60c = 2650 for c.
Let's substitute p = 10 into the equation:
180(10) + 60c = 2650
1800 + 60c = 2650
Now, let's isolate c by subtracting 1800 from both sides:
60c = 2650 - 1800
60c = 850
Next, divide both sides of the equation by 60:
c = 850/60
c = 14.17
Since the number of suitcases must be a whole number, rounded up to the nearest whole number, the airplane can carry approximately 15 suitcases when 10 people board the aircraft.
To find out how many suitcases the airplane can carry when 10 people board the aircraft, we need to solve the equation 180p + 60c = 2650, where p represents the number of passengers and c represents the number of suitcases.
Given that 10 people board the aircraft, we can substitute p = 10 into the equation and solve for c.
180p + 60c = 2650
180(10) + 60c = 2650
1800 + 60c = 2650
To isolate c, we need to isolate it on one side of the equation. We can do this by subtracting 1800 from both sides.
60c = 2650 - 1800
60c = 850
Now, divide both sides by 60 to solve for c.
c = 850 / 60
c = 14.17
Since we can't have a fraction of a suitcase, we round down to the nearest whole number. Therefore, the airplane can carry 14 suitcases when 10 people board the aircraft.