Adja has two final exams to study for. She spends four times longer studying for Algebra 1B then she did for Global Studies. All together she studied for 10 hours. Let a represent the time she spent studying for Algebra 1B and g represent the time she spent studying for Global Studies
a = 4g
a+g = 10
Let g represent the time Adja spent studying for Global Studies.
Then, the time she spent studying for Algebra 1B can be represented as 4g, since she spent four times longer studying for Algebra 1B.
According to the given information, the total time she studied is 10 hours, so we can set up the equation:
g + 4g = 10
Combining like terms:
5g = 10
Dividing both sides by 5:
g = 2
Therefore, Adja spent 2 hours studying for Global Studies.
And she spent 4 times longer studying for Algebra 1B, so she spent 4 * 2 = <<4*2=8>>8 hours studying for Algebra 1B.
To solve this problem, we can set up an equation using the given information.
Let's assign the variables:
a = time spent studying Algebra 1B
g = time spent studying Global Studies
According to the problem, Adja spends four times longer studying for Algebra 1B than she did for Global Studies. We can express this as an equation:
a = 4g
The problem also states that Adja studied for a total of 10 hours:
a + g = 10
Now we have a system of two equations and two variables. We can use substitution or elimination to solve for the values of a and g.
Let's use substitution. We know that a = 4g, so we can substitute this expression for a in the second equation:
4g + g = 10
Combining like terms, we get:
5g = 10
Dividing both sides by 5, we find:
g = 2
Now that we know g, we can substitute this value into the first equation to find a:
a = 4g
a = 4(2)
a = 8
Therefore, Adja spent 8 hours studying for Algebra 1B and 2 hours studying for Global Studies.