Respuesta :
a. 4 gallons of yellow paint are used
3 parts blue + 2 parts yellow = 5 total parts
10 gallons ÷ 5 parts = 2 gallons per part
2 gallons per part × 3 parts blue = 6 gallons blue paint
2 gallons per part × 2 parts yellow = 4 gallons yellow paint
Answer = a. 4
3 parts blue + 2 parts yellow = 5 total parts
10 gallons ÷ 5 parts = 2 gallons per part
2 gallons per part × 3 parts blue = 6 gallons blue paint
2 gallons per part × 2 parts yellow = 4 gallons yellow paint
Answer = a. 4
Option A: 4
4 gallons of yellow paint must be used.
Given that:
A shade of green paint = 3 parts blue paint + 2 parts yellow paint
Let 10 gallons of green paint = [tex]3x[/tex] gallons blue paint + [tex]2x[/tex] gallons yellow paint.
where x shows a portion of 10 gallons of green paint.
Now we have:
[tex]10 = 3x + 2x\\\\10 = 5x\\\\\dfrac{10}{5} = x\\\\2 = x[/tex]
Since yellow color is present in [tex]2x[/tex] gallon amount, thus, it is twice of 2 gallons(since x is 2 gallons), which gives us 4 gallons of yellow color.
Thus, 4 gallons of yellow color is needed or Option A: 4 is correct.
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