leah has three fewer than 4 times as many dvds as Sonia has. Leah has 37 dvds. how many dvds does Sonia have?
Let x = Sonia's DVDs.
4x - 3 = 37
4x = 40
x = 10
To find out how many DVDs Sonia has, we can use algebra. Let's call the number of DVDs Sonia has "x."
According to the information given, Leah has three fewer than 4 times as many DVDs as Sonia has. In algebraic terms, we can say:
Leah's DVDs = 4 * Sonia's DVDs - 3
And we know that Leah has 37 DVDs, so we can substitute this value into the equation:
37 = 4x - 3
Now we can solve this equation to find the value of x (the number of DVDs Sonia has):
37 + 3 = 4x
40 = 4x
Divide both sides of the equation by 4:
40/4 = 4x/4
10 = x
Therefore, Sonia has 10 DVDs.
Let's solve this step-by-step:
First, let's assume the number of DVDs Sonia has as "x".
According to the question, Leah has three fewer than 4 times as many DVDs as Sonia has. So, we can write this as an equation:
4x - 3 = 37
To find the value of x, let's solve this equation:
Add 3 to both sides:
4x = 37 + 3
4x = 40
Divide both sides by 4:
x = 40 / 4
x = 10
Therefore, Sonia has 10 DVDs.