Question

Sacha spent Two-eighths of his time in study hall on science homework and Five-eighths of his time on math homework. Which expression can be used to determine how much more of the time in study hall Sacha spent on math than on science?

Answer 1

The expression can be used to determine how much more of the time in study hall Sacha spent on math than on science is $\frac{3t}{8}$

Solution:

Let "t" be the total time spent on homework(science + math)

Given that Sacha spent Two-eighths of his time in study hall on science homework

Time spent on science homework = Two-eighths of his time

$\text {Time spent on science homework }=\frac{2}{8} \times t=\frac{2 t}{8}$

Five-eighths of his time on math homework

Time spent on maths homework = Five-eighths of his time

$\text {Time spent on maths homework }=\frac{5}{8} \times t=\frac{5 t}{8}$

To find: time in study hall Sacha spent on math than on science

To find how much more time Sacha spent on maths than science, we have to find the difference between time spent on math and time spent on science

Time spent on maths than science = Time spent on maths homework - Time spent on sceince homework

$\text {Time spent on maths than science }=\frac{5 t}{8}-\frac{2 t}{8}=\frac{3 t}{8}$

Thus the expression can be used to determine how much more of the time in study hall Sacha spent on math than on science is $\frac{3t}{8}$