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Standard XII

Physics

Refractive Index

A certain sha...

Question

A certain shade of green paint is made from six parts yellow mixed with four parts blue. If seventy cans of paint wad used in all, how cans of blue were used?

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Solution

Given that:-
$\frac{yellow paint cans}{blue paint cans} = \frac{6}{4}$
$∴$ No. of yellow paint cans $= 6 x$
No. of blue paint cans $= 4 x$
Given that total no. of cans used $= 70$
$∴ 6 x + 4 x = 70$
$\Rightarrow 10 x = 70$
$\Rightarrow x = \frac{70}{10} = 7$
$∴$ No. of yellow paint cans used $= 6 x = 6 \times 7 = 42$
No. of blue paint cans used $= 4 x = 4 \times 7 = 28$
Hence 28 cans of blue paint were used.

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A certain shade of green paint is made from six parts yellow mixed with four parts blue. If seventy cans of paint wad used in all, how cans of blue were used?

Given that:-yellow paint cansblue paint cans=64∴ No. of yellow paint cans =6xNo. of blue paint cans =4xGiven that total no. of cans used =70∴6x+4x=70⇒10x=70⇒x=7010=7∴ No. of yellow paint cans used =6x=6×7=42No. of blue paint cans used =4x=4×7=28Hence 28 cans of blue paint were used.