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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 Mary make per hour?

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Nyctalus

Answer: $90

Explanation: This problem can be solved by using following equation :-

Let John's hourly wage rate be J, Mary's hourly wage rate be M and Dennis hourly wage rate be D, therefore :-

Mary's rate will be :-

M = 2J............equation 1

AND,

J + D = $60 ..... equation 2

Similarly,

D = 1/3J

Now,putting the value of D in equation 2 we get,

J + 1/3J = $60

J  = $45

Putting the values of J in equation equation 1 we get,

M = 2 * $45

   = $90

So, Mary's hourly wage rate is $90

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