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DedPeter [7]
2 years ago
14

A mixture of concrete is made up of sand and cement in the ratio of 5:3.How many cubic centimeters of sand is needed to make 160

cubic centimeters of concrete mix?
Mathematics
1 answer:
bazaltina [42]2 years ago
3 0

Answer: 100\ cm^3

Step-by-step explanation:

Given

The ratio of mixture of sand and cement is 5:3

If the total volume of mixture is 160\ cm^3

Suppose there is 5x and 3x cubic centimeter of sand and cement respectively i.e.

\Rightarrow 5x+3x=160\\\Rightarrow 8x=160\\\Rightarrow x=20\ cm^3

Sand 5x=5\times 20=100\ cm^3

So, there is 100\ cm^3 of sand in the mixture

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Answer:

SOLUTION STEPS

6  

8

5

​

+−6  

3

1

​

 

Multiply 6 and 8 to get 48.

8

48+5

​

−  

3

6×3+1

​

 

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8

53

​

−  

3

6×3+1

​

 

Multiply 6 and 3 to get 18.

8

53

​

−  

3

18+1

​

 

Add 18 and 1 to get 19.

8

53

​

−  

3

19

​

 

Least common multiple of 8 and 3 is 24. Convert  

8

53

​

 and  

3

19

​

 to fractions with denominator 24.

24

159

​

−  

24

152

​

 

Since  

24

159

​

 and  

24

152

​

 have the same denominator, subtract them by subtracting their numerators.

24

159−152

​

 

Subtract 152 from 159 to get 7.

24

7

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Step-by-step explanation:

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