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.
Use an equation to find the number of hours Abigail volunteered at the nursing home last year.
hours
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.
Let's denote the number of hours Abigail volunteered at the nursing home last year as "x".
According to the given information, Abigail spent 73 hours at the pet shelter on Mondays. She also spent time playing cards with senior citizens on Saturdays. Hence, the total number of hours spent on these activities is 73 + x.
In all, Abigail volunteered 192 hours last year. Therefore, we can write the equation as:
73 + x = 192
To find the value of x, we need to solve this equation.
Let's assume the number of hours Abigail volunteered at the nursing home last year as 'x'.
According to the given information, Abigail spent 73 hours feeding and brushing cats at the pet shelter on Mondays, and she also spent time playing cards with senior citizens on Saturdays. So, the total number of hours Abigail spent volunteering at the pet shelter and the nursing home is 73 + x.
We are also given that Abigail volunteered a total of 192 hours last year.
So, we can set up the following equation:
73 + x = 192
To find the number of hours Abigail volunteered at the nursing home last year (x), we can subtract 73 from both sides of the equation:
x = 192 - 73
x = 119
Therefore, Abigail volunteered 119 hours at the nursing home last year.