a basket of laundry is being separated. Divide 48 pieces of clothing into 2 groups so the ratio is 1 to 3
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.