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My mother has prepared two types of sher...

My mother has prepared two types of sherbat. There is `5 kg` in `100 litre `sherbat of sugar the first type and `8 kg` sugar in `100 litre` sherbat of the second type. By mixing, these two types, I will prepare `150 litre` sherbat which contains `9 kg ` sugar. Forming simultaneous equation let us calculate how much quantity of two types sherbat will be mixed to prepare `150 litre` sherbat.

Text Solution

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first sugar amount=5/100=1/20
Second sugar amount=8/100=2/25
Sherbat of type I=xl
Sharbat of typeII=(150-x)l
Sugar`=x*1/20+2/25*(150-x)=29/3`
`x/20+12-25x=29/3`
`x=700/9l`=Volume of type
Type II=`10-700/9=650/9L`.
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