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# Help me

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Tom bought some flour. He filled 18 big jars and 25 small bottles with all the

flour. A big jar contained 10.6 g of flour more than a small bottle. The mass

of the flour in all the big jars was $${4\over 5}$$ the mass of the flour in all the small bottles.

What was the mass of the flour Tom bought?

Oct 15, 2021

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let's assume that each small bottle contains x gram of flour the each big jar would contain 10.6+x gram of flour, therefore total mass of flour will be:

M=25x+18(10.6+x)

It is also given that, mass of the flour in all the big jar is 4/5 of the mass of the flour in small bottles, therefore

18(10.6+x)=4/5(25x)

18(10.6+x)=4(5x)

190.8+18x=20x

20x=190.8+18x

20x-18x=190.8

2x=190.8

x=190.8/2 g

x = 95.4 kg

Now use this value of x in first relation to calculate total mass of flour

M=25×95.4+18(10.6+95.4)

M=2385+18(10.6+95.4)

M=2385-18(106)

M=2585+1908

M=2385+1908M=4293g

Mass of flour Tom bought is 4293g

Dec 4, 2021