Final answer:
To solve the problem, set up a system of equations based on the given information and solve for the unknown variables.
Step-by-step explanation:
Let's assume that the number of problems on the science homework is x. According to the given information, the math homework has four times as many problems as the science homework. So, the math homework has 4x problems.
Also, the science homework has twice as many questions as the reading homework. Let's assume the number of questions on the reading homework is y. Therefore, the science homework has 2y questions.
From the given information, we can set up the following equations:
4x = (2y)(8)
4x = 16y
4x - 16y = 0
Now we have two equations:
4x - 16y = 0 (Equation 1)
2y - y = y (Equation 2)
We can solve this system of equations to find the values of x and y.