Question

A farmer has to transport 20 people and 32 sheep to a market. He can use either Fiats (x) which take 2 people and 1 sheep, or Rolls Royce (y) which take 2 people and 4 sheeps. He must not use more than 15 cars altogether. What are the inequalities ?

Answer 1

So we're just going to ignore the fact that a f a r m e r wants to transport people and sheep in Fiats and Rolls Royces?
K.

Answer 2

let x = # of fiats and y = # of rolls royces

since the total number of cars must be less than 15, x + y ≤ 15
now we need an inequality to represent the total # of people

(number of roll's royces)(2) + (number of fiats)(2) ≥ 20
2x + 2y ≥ 20

since both types of car take two people each, and we want at least 20 people

same logic with the sheep
x + 4y ≥ 32