SOLUTION: On Saturday, Kim worked three hours more than Ann did. Together they worked one hour less than three times the hours than Ann worked. How many hours did Kim work?

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Question 552783: On Saturday, Kim worked three hours more than Ann did. Together they worked one hour less than three times the hours than Ann worked. How many hours did Kim work?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +k+ = hours that Kim worked
Let +a+ = hours that Ann worked
given:
(1) +k+=+a+%2B+3+
(2) +k+%2B+a+=+3a+-+1+
-------------------
Substitute (1) into (2)
(2) +a+%2B+3+%2B+a+=+3a+-+1+
(2) +3a+-+2a+=+3+%2B+1+
(2) +a+=+4+
and, since
(1) +k+=+a+%2B+3+
(1) +k+=+4+%2B+3+
(1) +k+=+7+
Kim worked 7 hrs
Ann worked 4 hours
check:
(2) +k+%2B+a+=+3a+-+1+
(2) +7+%2B+4+=+3%2A4+-+1+
(2) +11+=+12+-+1+
(2) +11+=+11+
OK