As part of their government class, Maddie and Ryan had to log volunteer hours in their community. Ryan volunteered for one more than three times the number of hours that Maddie did. Altogether, they volunteered in their community for 45 hours, how many hours did Ryan volunteer?

Step-by-step explanation:

Maddie = y

Ryan = x

One more than means to (add 1)

Three times means to (multiply by 3)

Maddie worked for y hours

Ryan worked for

* x hours

* three times the number of hours that Maddie did

x = 3y

one more than

x = 3y + 1

Altogether

x + y = 45 hours

(3y +1) + y = 45

3y + y = 45-1

4y = 44

y= 44/4

y =11

Ryan hours (x)

x = 3y + 1

x= 3(11) + 1

x =33+ 1

x=34

Maddie hours (y)

y=11

x + y= 45

34+11= 45

Ryan: 34 hours

Maddie: 11 hours

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x