Brand X costs 8 a piece. Brand Y costs 11 a piece. A buyer buys 5 more of brand Y. The total purchase is 454. How many of each brand did she buy?

Question

this is a descriptive description.

Answer 1

Y = X + 5

 

8x + 11Y = 454

 

8x + 11(x+5) = 454

 

8x + 11x + 55 = 454

 

19x = 399

 

x = 21

 

She bought 21 of X and 26 of Y

 

CHECK:

21*8 + 26*11 = 168 + 286 = 454 <---  yes it works

Answer 2

x = number of brand X at 8 each

x + 5 = number of brand Y at 11 each

 

8x + 11(x + 5) = 454

 

Can you solve for x, then x + 5, and finish from here?