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
[tex]x+y=48[/tex]
[tex]\frac{x}{y}=\frac{1}{3}[/tex]
[tex]x=\frac{1}{3}y[/tex]
Substitute the value of x
Then, we get
[tex]\frac{1}{3}y+y=48[/tex]
[tex]\frac{y+3y}{3}=48[/tex]
[tex]\frac{4y}{3}=48[/tex]
[tex]y=\frac{48\times 3}{4}=36[/tex]
Substitute the value of y then, we get
[tex]x+36=48[/tex]
[tex]x=48-36=12[/tex]
Hence, the 48 divided into 12 and 36.
