Nicole is working two summer jobs, making $10 per hour babysitting and making $20 per hour tutoring. In a given week, she can wo
rk at most 17 total hours and must earn a minimum of $250. If Nicole worked 2 hours babysitting, determine all possible values for the number of whole hours tutoring that she must work to meet her requirements. Your answer should be a comma separated list of values.
1 answer:
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Any odd number can be represented with 2n+1 where n is a whole number. Also, since the next consecutive number will be even (2n+1+1), then the next consecutive odd number must be 2n+1+2, or 2n+3. Since consecutive odd numbers are separated by 2, then the previous odd number should be 2n-1. So:
<h3>2n-1+2n+1+2n+3=36</h3><h3>6n+3=36</h3><h3>6n+3-3=36-3</h3><h3>6n/3=33/3</h3><h3>2n=11</h3>Now in order to find three odd consecutive numbers that will sum to 36, you must be able to divide 11 evenly by 2, and have a whole number as a result. This is impossible, so there aren't any 3 odd numbers that will sum to 36.
<h2>HOPE IT HELPS ☺️</h2>