Need four inequalities to solve and graph

Question

Chloe has $70 to spend and only 60 cu. inches of space in her luggage.  Bracelets cost $7 and take up 3 cu. inches of space while t-shirts cost  $5 and take up 15 cu. inches of space.  Let x= # 0f bracelets and y = # of t-shirts. All  I need to find is  four (4) inequalities to graph.    I can't  find all four.  Help, please.  THANKS!

Answer 1

Start with the cost and form an equation from there.  Chloe can only spend $70 max which means she can spend 70 or less.  To account for the prices of each item, set the price as the coefficient of the corresponding variable.

7x+5y≤70

 

Then work on cubic inches.  Use the same method from before and create an equation.

 

3x+15y≤60

 

To find the last two equations, find of the number of bracelets and t-shirts Chloe can buy.  For example, we know based on space and money, Chloe can only buy so many of each item.  To find these values, substitute 0 in for the other variable and solve the equation.

 

3x+15(0)=60

x≤20

 

7(0)+5y=70

y≤14