Question

divide 130 in the ratio 1 by 2 is to 1 by 3 is to 1 by 4​

Answer 1

Answer:

130 when expressed in the ratio $\frac{1}{2}$ : $\frac{1}{3}$ : $\frac{1}{4}$ = 60 : 40 : 30

Step-by-step explanation:

Sum of the ratios = 1/2 +  1/3 + 1/4 = 26/24 = 13/12

1/2 ÷ 13/12 × 130 = 1/2 × 12/13 × 130 = 12/26 × 130 = 12 × 5 = 60

1/3 ÷ 13/12 × 130 = 1/3 × 12/13 × 130 = 4/13 × 130 = 4 × 10 = 40

1/4 ÷ 13/12 × 130 = 1/4 × 12/13 × 130 = 3/13 × 130 = 3 × 10 = 30

∴ 130 when expressed in the ratio $\frac{1}{2}$ : $\frac{1}{3}$ : $\frac{1}{4}$ = 60 : 40 : 30.

Answer 2

LET 1/2 : 1/3 : 1/4 = x

LCM of 2 , 3 , 4 is 12

• 1/2 × 12 = 6
• 1/3 × 12 = 4
• 1/4 × 12 = 3

RATIO

• 6x + 4x + 3x = 130
• x = 130/13
• x = 10

PARTS OF 130 in ratio 1/2 : 1/3 : 1/4

• 6x = 60
• 4x = 40
• 3x = 30