Josiah and Elijah are going on a camping trip. Together they brought a total of 10 shirts and 6 pants. Josiah brought 6 shirts and 4 pants. What is the ratio of Elijah’s pants to shirts?(1 point)

Responses

106
Start Fraction 10 over 6 End Fraction

24
Start Fraction 2 over 4 End Fraction

64
Start Fraction 6 over 4 End Fraction

46
Start Fraction 4 over 6 End Fraction

1 answer

To solve the problem, let's first determine how many shirts and pants Elijah brought.

  1. Total items they brought:

    • Total shirts = 10
    • Total pants = 6
  2. Josiah's items:

    • Josiah brought 6 shirts and 4 pants.
  3. Calculate Elijah's items:

    • Elijah's shirts = Total shirts - Josiah's shirts \( = 10 - 6 = 4 \)

    • Elijah's pants = Total pants - Josiah's pants \( = 6 - 4 = 2 \)

  4. Find the ratio of Elijah's pants to shirts:

    • Ratio of Elijah's pants to shirts = \(\frac{\text{Elijah's pants}}{\text{Elijah's shirts}} = \frac{2}{4}\)
  5. Simplify the ratio:

    • \(\frac{2}{4} = \frac{1}{2}\)

Looking at the provided options, the closest match to the simplified ratio \( \frac{1}{2} \) is:

  • 24
    • Start Fraction 2 over 4 End Fraction (which simplifies to \( \frac{1}{2} \))

So the correct response is: 24 Start Fraction 2 over 4 End Fraction.