Verified Answer :

Group 1: Group 2

1 : 3

Total amount of splits = 1 + 3 = 4

48/4 = 12

12 : 12+12+12

12 : 36

12 in pile 1 and 36 in pile 2.

Answer:

12 and 36

Step-by-step explanation:

We are given that a basket of laundry is being separated.

We have to divide 48 pieces of clothing into 2 groups so that their  ratio 1:3.

Let 48 is divided into x and y

According to question

\(x+y=48\)

\(\frac{x}{y}=\frac{1}{3}\)

\(x=\frac{1}{3}y\)

Substitute the value of x

Then, we get

\(\frac{1}{3}y+y=48\)

\(\frac{y+3y}{3}=48\)

\(\frac{4y}{3}=48\)

\(y=\frac{48\times 3}{4}=36\)

Substitute the value of y then, we get

\(x+36=48\)

\(x=48-36=12\)

Hence, the 48 divided into 12 and 36.