Question

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 assignments, 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)

Answer 1

X is 4 y is zero. So he can do four math assignments if this doesn't include breaks.

Answer 2

4 assignments of math

Explanation:

Gerald can complete a math assignment in 2 hours

Gerald can complete a physics assignment in 1 hours

Equation :
`2x+y=8`

where x is the number of completed math assignments

y is the number of completed science assignments.

Since we are given that he decided to leave science assignment for the next day .

So, substitute y = 0

`\Rightarrow 2x+0=8`

`\Rightarrow x=(8)/(2)`

`\Rightarrow x=4`

Hence he can complete 4 assignments of math if he decides to leave the science assignments for the next day.