lee withdrew $200 from his account and asked for $5 and $10 bills. He received two more $10 bills than $5 bills. how many bills did he receive in all.

Question

aripotta · Answer

system of equations:

5a + 10b = 200
b = a + 2

substitute: 

5a + 10(a + 2) = 200

distribute:

5a + 10a + 20 = 200

combine like terms:

15a + 20 = 200

subtract 20 from both sides:

15a = 180

divide by 15 on both sides: 

a = 12

substitute to solve for b:

b = 12 + 2
b = 14

add them together:

14 + 12 = 26

so he received 26 bills

aripotta · Answer

does that make sense?

anonymous · Answer

I got the same as AriPotta, so his should be right, and it makes sense to me.

aripotta · Answer

@gkendryna do you understand what i did?