Gerald can complete a math assignment in 2 hours and a physics assignment in 1 hour. If he has 8 hours to complete a set of assi
gnments, how many math assignments can he complete if he decides to leave the science assignments for the next day? This situation is given by 2x + y = 8, where x is the number of completed math assignments and y is the number of completed science assignments. (x 0, y 0, x and y take only integer values). Suggestions:
If i am reading this question correctly it states "How many math assignments can he complete in 8 hours" leaving out the science assignments because it states he'd do them tomorrow its simple math. 8 divided by 2 which is 4 math assignments he can complete in 8 hours.
We know that Gerald has 8 hours to complete a set of assignments if x is the number of math assignments and y is the number of physics assignments, we need to solve the equation:
2x + y = 8
Now, we know that Gerald decides to leave the science assignments for the next day, so on this first day we do not have physics assignments, which implies that y = 0
So now we have the equation 2x = 8
x = 8/2 = 4
x = 4
So we the maximum number that Gerald can complete in 8 hours is equal to 4 (in the situation in which he left the science assignments for the other day)
