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?
Answer:
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
