Question
How many markers does Leo have if he has 8 more markers than colored pencils and a total of 32 markers and colored pencils?
Answers
GPT-4o mini
Let \( m \) represent the number of markers Leo has and \( c \) represent the number of colored pencils. According to the problem, we have the following two equations:
1. \( m = c + 8 \) (Leo has 8 more markers than colored pencils)
2. \( m + c = 32 \) (The total number of markers and colored pencils is 32)
We can substitute the first equation into the second equation. Replacing \( m \) in the second equation gives us:
\[
(c + 8) + c = 32
\]
Simplifying this equation:
\[
2c + 8 = 32
\]
Next, we subtract 8 from both sides:
\[
2c = 24
\]
Now, we divide by 2 to solve for \( c \):
\[
c = 12
\]
Now that we have the number of colored pencils, we can find the number of markers using the first equation:
\[
m = c + 8 = 12 + 8 = 20
\]
Thus, Leo has \( \boxed{20} \) markers.
1. \( m = c + 8 \) (Leo has 8 more markers than colored pencils)
2. \( m + c = 32 \) (The total number of markers and colored pencils is 32)
We can substitute the first equation into the second equation. Replacing \( m \) in the second equation gives us:
\[
(c + 8) + c = 32
\]
Simplifying this equation:
\[
2c + 8 = 32
\]
Next, we subtract 8 from both sides:
\[
2c = 24
\]
Now, we divide by 2 to solve for \( c \):
\[
c = 12
\]
Now that we have the number of colored pencils, we can find the number of markers using the first equation:
\[
m = c + 8 = 12 + 8 = 20
\]
Thus, Leo has \( \boxed{20} \) markers.