It takes Jaiden 5 and 3/4 hours to do her homework each week. It takes her 2 and 3/4 hours to complete her science and 1 and 1/2 hours to complete her math homework. How long does it take her to complete Social Studies homework? Use the numbers and symbols, listed below, to write an equation. Then solve the equation. Symbols may not be used more than once. 5 3/4, 2 1/2, 1 1/2, x, = , +
Social studies: X Hours.
2 3/4 + 1 1/2 + x = 5 3/4 Hours.
Solve for X.
To find out how long it takes Jaiden to complete her Social Studies homework, we can subtract the time it takes her to complete her science and math homework from the total time it takes her to do her homework each week.
Let's assign variables to represent the unknowns:
x = time taken for Social Studies homework
Given information:
Time taken for science homework = 2 3/4 hours = 2.75 hours
Time taken for math homework = 1 1/2 hours = 1.5 hours
Total time taken for homework each week = 5 3/4 hours = 5.75 hours
The equation representing the information is:
Total time = Time for science homework + Time for math homework + Time for Social Studies homework
5.75 = 2.75 + 1.5 + x
Now, let's solve the equation to find the value of x:
First, combine the known values on the right side of the equation:
5.75 = 4.25 + x
Next, subtract 4.25 from both sides of the equation to isolate x:
5.75 - 4.25 = x
1.5 = x
Therefore, it takes Jaiden 1.5 hours to complete her Social Studies homework.