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Answer :
Final answer:
Chelsea spent 15 hours babysitting last week. We found this by setting x as the hours spent washing cars and y as hours spent babysitting, using the equations x + y = 20 and y = 3x, and solving for x and y.
Explanation:
Let x be the number of hours Chelsea spends washing cars and let y be the number of hours she spends babysitting. Chelsea worked a total of 20 hours last week and spent 3 times as many hours babysitting as she did washing cars. This gives us two equations to solve for x and y:
x + y = 20 (total hours worked)
y = 3x (three times as many hours babysitting as car washing)
Substituting the second equation into the first, we have:
x + 3x = 20
4x = 20
x = 5
Now that we've found the number of hours spent washing cars (x = 5), we can use the second equation to find y:
y = 3 × 5
y = 15
Hence, Chelsea spent 15 hours babysitting last week.
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