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Rufina [12.5K]
3 years ago
10

One month, ruby worked 6 more hours than Issac, and Svetlana worked 4 times as many hours as Ruby. Together they worked 126 hour

s. Find the number of hours each person worked.
Mathematics
1 answer:
garik1379 [7]3 years ago
8 0
Ruby's hours will represent x+6
Svetlana's hours will represent 4(x+6)
Issac will represent x.

The equation would read:
x+(x+6)+(4(x+6))=126
x+x+6+4x+24=126
6x+30=126
Subtract 30 from both sides.
6x=96
Divide 6 on both sides to get x by itself.
x=16

So:
Issac worked 16 hours
Ruby worked 22 hours
Svetlana worked 88 hours.

To check your answer, plug in the values:
16+22+88=126
126=126

Hope this helps.
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