Algebra 2 Honors Question

Question

A student has some $1 and $5 bills in his wallet. He has a total of 17 bills that are worth $49. How many of each type of bill does he have?

Answer 1

 

 

 

 

 

 

 

 

 

 

X is the number of $1 bills or "George Washington" picture on the $1

Y is the number of $5 bills of "Abraham Lincoln" picture on the $5

 

X + Y = 17 -->  Y = 17 - x

 

X + 5Y = 49

 

X + 5(17 - x) = 49

 

x + 85 - 5x = 49

 

x + 85 - 5x - 49 = 0

 

36 - 4x = 0

 

36 = 4x

 

x=9 --> y = 17 - 9  = 8

 

9 George Washington and 8 Lincolns.

9 x 1 + 8 x 5 = 9 + 40 = 49