Problema Solution

Tom plans to spend no more than $245 fo a life vest and a pair of skis. Suppose the cost of the skis is $2 more than 3 times the vest. What is the greatest amount Tome can spend for the vest?

Answer provided by our tutors

let


x = the cost of the vest

y = the cost of the ski


x >= 0

y >= 0


Tom plans to spend no more than $245 for a life vest and a pair of skis


x + y <= 245


the cost of the skis is $2 more than 3 times the vest


y = 2 + 3x


if we substitute for y in the x + y <= 245 equation we have


x + 2 + 3x <= 245


4x <= 243


x <= 243/4


x <= $60.75


Tome can spend not more then $60.75 on the vest.