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2/5 Part of a mixture of 3 l is water and the rest is sugar syrup. Another mixture of 8 l contains 3/5 part water and the rest is sugar syrup. It both mixture are mixed together then what will be the ratio of water & sugar syrup in the new mixture?

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2/5 Part of a mixture of 3 l is water and the rest is sugar syrup. Another mixture of 8 l contains 3/5 part water and the rest is sugar syrup. It both mixture are mixed together then what will be the ratio of water & sugar syrup in the new mixture?
1). 8 : 5
2). 7 : 5
3). 4 : 3
4). 6 : 5


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Answered by on | Votes 0 |

Assume,

1) Mixture 1: mixture of 2/5 part water & rest sugar syrup.

2) Mixture 2: mixture of 3/5 part water & rest sugar syrup.

3) Mixture 3: mixture of mixture 1 & mixture 2.

Amount of water and sugar syrup in different mixtures are represented in tabulated form for better understanding.

Mixture

Volume (liter)

Water (liter)

Sugar syrup (liter)

Mixture 1

3

2/5 × 3 = 6/5 =1.2

(3 – 1.2) = 1.8

Mixture 2

8

3/5 × 8= 24/5=4.8

(8 – 4.8) = 3.2

Mixture 3

11

(1.2 + 4.8) = 6

(1.8 + 3.2)=5

∴ The ratio of water & sugar syrup in the new mixture = 6:5

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