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?
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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
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If Dennis earns 1/3 of John’s rate,
D = {{{J/3}}}
;
what does John make per hour?
:
Substitute {{{J/3}}} for D in the equation: J + D = 60
J + {{{J/3}}} = 60
Multiply equation by 3
3J + J = 3(60)
4J = 180
J = {{{180/4}}}
J = $45