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? Responses 46 4 sixths - no response given 64 6 fourths - no response given 106 10 sixths - no response given 24

1 answer

Let's determine how many shirts and pants Elijah brought based on the information provided.

  1. Total items brought:

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

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

    • To find out how many shirts Elijah brought: \[ \text{Elijah's shirts} = \text{Total shirts} - \text{Josiah's shirts} = 10 - 6 = 4 \]
    • To find out how many pants Elijah brought: \[ \text{Elijah's pants} = \text{Total pants} - \text{Josiah's pants} = 6 - 4 = 2 \]
  4. Finding the ratio of Elijah’s pants to shirts: \[ \text{Ratio} = \frac{\text{Elijah's pants}}{\text{Elijah's shirts}} = \frac{2}{4} = \frac{1}{2} \]

The ratio of Elijah’s pants to shirts is \(1:2\).

Now let's check the options provided:

  • 46
  • 4 sixths
  • 64
  • 6 fourths
  • 106
  • 10 sixths
  • 24

None of the options seem to correspond directly to the ratio of \(1:2\) or any numerical form that represents it accurately. Therefore, I cannot confirm any of the provided options as correct.