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Question

# A tin of paint of a particular shade of colour is a mixture of red, blue and yellow. 14 of the total volume of paint is made up of red paint and the ratio of the volume of red paint to that of blue paint is 3 : 2. Find the total volume of paint that will contain 84 mL of yellow paint.

A
120 mL
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B
140 mL
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C
144 mL
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D
168 mL
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Solution

## The correct option is C 144 mLLet the volume be VmL14 of the total volume of paint is made up of red paint and the ratio of the volume of red paint to that of blue paint is 3 : 2.∴V4×23= volume of blue paintVolume of red paint =V4Volume of Red plus blue paint =5V12Volume of yellow paint =V−5V12=7V12 but 7V12=84mL∴V=144mL

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