Ben hires some buses to take 768 people to a football match. Each bus can take 56 people. Ben hires the least number of buses needed to take all 768 people. Then 19 of the people decide not to go to the football match. Does Ben still need all the buses he has hired? You must show how you get your answer.

yes, he still needs all the buses he hired

Step-by-step explanation:

768 people/56 people per bus = 13.71, so 14 buses

768 - 19 = 749 people going

749people/56 people per bus = 13.37, so still need 14 buses

there are no short passages to look at

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!