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garik1379 [7]
2 years ago
14

A shade of green paint is created by mixing a certain amount of blue paint. The ratio of yellow to blue paint is 3:7. Based on t

his ratio how much yellow paint would be needed to prepare 5 gallons of green paint.
Mathematics
1 answer:
8_murik_8 [283]2 years ago
5 0

Answer:

The amount of yellow paint needed to prepare 5 gallons of green paints is \frac{3}{2}  gallon .

Step-by-step explanation:

Given as :

The ratio of yellow paint to blue paint = 3 : 7

The total measure of green paint prepare with blue and yellow paint = 5 gallons

So, Let The amount of yellow paint = 3 x

And The amount of blue paint = 7 x

According to question :

The amount of yellow paint + The amount of blue paint = The total measure of green paint

Or, 3 x + 7 x = 5 gallons

Or, 10 x = 5 gallons

∴    x = \frac{5}{10} = \frac{1}{2}

so , The amount of yellow paint = 3 ×  \frac{1}{2} =  \frac{3}{2}  gallon

And The amount of blue paint = 7 ×  \frac{1}{2} =  \frac{7}{2} gallon

Hence The amount of yellow paint needed to prepare 5 gallons of green paints is \frac{3}{2}  gallon . Answer

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