A person engaged a workman for 48 days. For each day that he labored he received

Question

A person engaged a workman for 48 days. For each day that he labored he received 24 cents and for each day he was idle he paid 12 cents for his board. At the end of the 48 days the account was settled when the laborer received 504 cents. Find the number of working days and the number of idle days.

Explanation / Answer

You can answer this problem with a series of equations let x=laboring days y=idle days we know x+y=48 -----> and y=48-x with using the information about how much he is paid, we know 504=24x+12y now plug (48-x) in for y in the 2nd equation 504=24x+12(48-x) solve for x; plug your answer for "x" back into the y=48-x equation and solve for y and you will know how many days were spend laboring and idle

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