Question

Amia has $300 to plan a trip with her cousins. She wants to go to Orlando, Florida and it costs $127 for a room, $75 for gas round trip and $20 per person to see a show. How many cousins can she invite? Write an equation/inequality for the problem. How many people can she invite to the circus?

Answer 1

so she has 300 bucks, and the costs are 127 + 75, 202, plus the show entrance fee of 20 bucks per head.

so for 1 person is 20(1), for 2 is 20(2) bucks, for 3 is 20(3) and for "x" persons is 20(x) or 20x.


`\bf \stackrel{\textit{in her pocket}}{300}~~\ge~~\stackrel{costs}{202 + 20x}\implies 300-202\ge 20x \\\\\\ 98\ge 20x\implies \cfrac{98}{20}\ge x\implies \cfrac{49}{10}\ge x\implies 4(9)/(10)\ge x`

so, she can only pay for 4 whole persons, now including herself that'd be her and 3 cousins then.