Abigail loves to volunteer. Last year, she spent 73 hours feeding and brushing cats at the pet shelter on Mondays. She also spent time playing cards with senior citizens on Saturdays. In all, Abigail volunteered 192 hours last year.

Question

Use an equation to find the number of hours Abigail volunteered at the nursing home last year.
hours

Answer 1

Let x be the number of hours Abigail volunteered at the nursing home last year.
The total number of hours Abigail volunteered is x + 73 + 192 = 265 + x.
Since the total number of hours Abigail volunteered is 192, we can set up the equation:
x + 73 + 192 = 192.
Combining like terms gives x + 265 = 192.
Subtracting 265 from both sides gives x = -73.
Since it doesn't make sense for Abigail to volunteer a negative number of hours, we can conclude that Abigail did not volunteer at the nursing home last year.
Therefore, the number of hours Abigail volunteered at the nursing home last year is 0 hours.