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

Sagot :

jsblumen

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.

lublana

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.

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