Question

Evan and Marco decided to go camping. Together the brought a total of 12 shirts and 8 pants. Evan brought 8 shirts and 6 pants. What is the ratio of Marco's pants to shirts?

Answer 1

Let's denote the number of shirts Marco brought as \( M_s \) and the number of pants Marco brought as \( M_p \).

From the information given:

1. The total number of shirts is 12:
\[
E_s + M_s = 12
\]
where \( E_s \) is the number of shirts Evan brought, which is 8. Therefore:
\[
8 + M_s = 12
\]
Solving for \( M_s \):
\[
M_s = 12 - 8 = 4
\]

2. The total number of pants is 8:
\[
E_p + M_p = 8
\]
where \( E_p \) is the number of pants Evan brought, which is 6. Therefore:
\[
6 + M_p = 8
\]
Solving for \( M_p \):
\[
M_p = 8 - 6 = 2
\]

Now we have the number of shirts and pants Marco brought:
- Marco's shirts \( M_s = 4 \)
- Marco's pants \( M_p = 2 \)

Now, we can find the ratio of Marco's pants to shirts:
\[
\text{Ratio} = \frac{M_p}{M_s} = \frac{2}{4} = \frac{1}{2}
\]

Thus, the ratio of Marco's pants to shirts is \( \frac{1}{2} \).