A house painter mixes yellow paint with blue paint to get green paint. The ratio of the volumes of the yellow paint to the volume of the blue paint is $5 : 3$ if the difference in volumes of the paints is $500 m l$ what is the volumes of green paint?

2

liters

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4

liters

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5

liters

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2.5

liters

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Solution

The correct option is A $2$ liters
$\frac{V_{y}}{V_{b}} = \frac{5}{3} (Given)$

$\Rightarrow V_{y} = \frac{5}{3} V_{b} . . . . . (1)$

Also,

$V_{y} - V_{b} = 500 (Given)$

$\Rightarrow \frac{5}{3} V_{b} - V_{b} = 500$

$\Rightarrow \frac{2}{3} V_{b} = 500$

$\Rightarrow V_{b} = \frac{3}{2} \times 500 = 750 m L$

Substituting the value of $V_{b}$ in equation $(1)$ , we have

$V_{y} = \frac{5}{3} \times 750 = 1250 m L$

Therefore,

$V_{g} = V_{y} + V_{b}$

$\Rightarrow V_{g} = 1250 + 750 = 2000 m L = 2 L$

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A house painter mixes yellow paint with blue paint to get green paint. The ratio of the volumes of the yellow paint to the volume of the blue paint is 5:3 if the difference in volumes of the paints is 500ml what is the volumes of green paint?

The correct option is A 2 litersVyVb=53(Given)⇒Vy=53Vb.....(1)Also,Vy−Vb=500(Given)⇒53Vb−Vb=500⇒23Vb=500⇒Vb=32×500=750mLSubstituting the value of Vb in equation (1), we haveVy=53×750=1250mLTherefore,Vg=Vy+Vb⇒Vg=1250+750=2000mL=2L

A house painter mixes yellow paint with blue paint to get green paint. The ratio of the volumes of the yellow paint to the volume of the blue paint is $5 : 3$ if the difference in volumes of the paints is $500 m l$ what is the volumes of green paint?