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krek1111 [17]
3 years ago
9

Divide a 5 1/4 inch line into three parts whose ratios are 1:2:3.

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0

Answer:

Divide a 5\frac{1}{4} inch line into three parts are \frac{7}{8},\frac{7}{3},\frac{21}{8}

Step-by-step explanation:

To find : Divide a 5\frac{1}{4} inch line into three parts whose ratios are 1:2:3 ?

Solution :

Let the number be p which is divided into three parts in the ratio a : b : c.

then the solution of three parts are x=\frac{ap}{a+b+c} , y=\frac{bp}{a+b+c} and z=\frac{cp}{a+b+c}

On comparing,  p=5\frac{1}{4}=\frac{21}{4}

a=1 , b=2 , c=3

Substituting all the values to determine the three parts,

x=\frac{ap}{a+b+c}

x=\frac{1(\frac{21}{4})}{1+2+3}

x=\frac{\frac{21}{4}}{6}

x=\frac{21}{4\times 6}

x=\frac{21}{24}

x=\frac{7}{8}

y=\frac{bp}{a+b+c}

y=\frac{2(\frac{21}{4})}{1+2+3}

y=\frac{\frac{21}{2}}{6}

y=\frac{21}{2\times 6}

y=\frac{21}{12}

y=\frac{7}{3}

z=\frac{cp}{a+b+c}

z=\frac{3(\frac{21}{4})}{1+2+3}

z=\frac{\frac{63}{4}}{6}

z=\frac{63}{4\times 6}

z=\frac{63}{24}

z=\frac{21}{8}

Therefore, Divide a 5\frac{1}{4} inch line into three parts are \frac{7}{8},\frac{7}{3},\frac{21}{8}

stich3 [128]3 years ago
3 0
1:2:3...total is 6

1/6 of 5 1/4 = 1/6 * 21/4 = 21/24 = 7/8
2/6 of 5 1/4 = 2/6 * 21/4 = 42/24 = 1 3/4
3/6 of 5 1/4 = 3/6 * 21/4 = 63/24 =  2 5/8

7/8, 1 3/4, 2 5/8...total = 5 1/4 inches
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Answer: total profit = $418

======================================================

Work Shown:

June

Income = (4 lawns)*($27 per lawn) = $108

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----------------------------

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