SOLUTION: Mary’s hourly wage is twice that of John’s. John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does John make per hour?

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Question 138904: Mary’s hourly wage is twice that of John’s. John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does John make per hour?
Answer by ankor@dixie-net.com(12701) (Show Source):
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Mary’s hourly wage is twice that of John’s. John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does John make per hour?
:
Write an equation for each phrase:
:
Mary’s hourly wage is twice that of John’s.
M = 2*J
:
John’s and Dennis’ hourly wages together total $60.
J + D = 60
:
If Dennis earns 1/3 of John’s rate,
D =
;
what does John make per hour?
:
Substitute for D in the equation: J + D = 60
J + = 60
Multiply equation by 3
3J + J = 3(60)
4J = 180
J =
J = $45