Bully buys 3 raw hide treats and 2 beef-flavored bones and pays $1.78. He exchanges a beef-flavored bone for another raw hide treat and has t

Question

Bully buys 3 raw hide treats and 2 beef-flavored bones and pays $1.78. Changing his mind, he exchanges a beef-flavored bone for another raw hide treat and has to pay an additional 16 cents. What is the price of a single raw hide treat?

Answer 1

Let R = raw hide treat price

Let B = beef-flavored bone price

 

3 raw hide treats and 2 beef-flavored bones cost $1.78  ==>  

3R + 2B = 1.78

 

Exchanging a beef-flavored bone for a raw hide treat costs 16 cents  ===>  

R - B = 0.16  ==>  R = B + 0.16

 

Substitute this value for R in the 1st equation to get 

 

3(B + 0.16) + 2B = 1.78

3B + 0.48 + 2B = 1.78

5B = 1.30

B = 0.26

 

Therefore R = B + 0.16 = 0.26 + 0.16 = 0.42

 

So a single raw hide treat costs $0.42 or 42 cents

 

Check:  3R + 2B = 3(0.42) + 2(0.26) = 1.26 + 0.52 = 1.78

            R - B = 0.42 - 0.26 = 0.16 = 16 cents