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
24
Start Fraction 2 over 4 End Fraction
64
Start Fraction 6 over 4 End Fraction
46
Start Fraction 4 over 6 End Fraction
106
The correct answer is: Start Fraction 2 over 4 End Fraction
To find the ratio of Elijah's pants to shirts, we need to compare the number of his pants to the number of his shirts.
From the given information, Josiah brought a total of 6 shirts and 4 pants.
Therefore, Elijah must have brought the remaining number of shirts and pants.
To find Elijah's shirts, subtract Josiah's shirts from the total shirts:
Total shirts - Josiah's shirts = Elijah's shirts
10 shirts - 6 shirts = 4 shirts
To find Elijah's pants, subtract Josiah's pants from the total pants:
Total pants - Josiah's pants = Elijah's pants
6 pants - 4 pants = 2 pants
So, Elijah brought 2 pants and 4 shirts.
The ratio of Elijah's pants to shirts is now 2:4.
However, we can simplify this ratio by dividing both numbers by their greatest common factor, which is 2.
Dividing 2 by 2, we get 1.
Dividing 4 by 2, we get 2.
So, the simplified ratio of Elijah's pants to shirts is 1:2.
Therefore, the correct answer is Start Fraction 1 over 2 End Fraction.
To find the ratio of Elijah's pants to shirts, we need to determine the number of pants and shirts that Elijah brought.
We know that Josiah brought a total of 6 shirts and 4 pants, so we can subtract Josiah's numbers from the total numbers brought to find out Elijah's numbers:
Total shirts - Josiah's shirts = Elijah's shirts
10 shirts - 6 shirts = 4 shirts
Total pants - Josiah's pants = Elijah's pants
6 pants - 4 pants = 2 pants
Now that we know Elijah brought 4 shirts and 2 pants, we can calculate the ratio of Elijah's pants to shirts by using the format "pants to shirts". So, the ratio is:
2 pants to 4 shirts
To simplify this ratio, we can divide both numbers by their greatest common divisor (GCD), which is 2:
2 pants ÷ 2 = 1 pant
4 shirts ÷ 2 = 2 shirts
Therefore, the simplified ratio of Elijah's pants to shirts is:
1 pant to 2 shirts