How much blue and yellow paint should a store mix to make 98 gallons of glowing green paint if the ratio is 3:4

Question

How much blue and yellow paint should a store mix to make 98 gallons of glowing green paint if the ratio is 3:4

Answer 1

The Ratio Blue:Yellow is 3:4 or 3/4.

 

Ratio Sum is 3 + 4 = 7.

 

Total Gallons (98) divided by the Ratio Sum (7) gives us the Multiplier:

 

98 / 7 = 14

 

Now just multiply each by 14!

 

Blue:

3 * 14 = 42 gallons

Yellow:

4 * 14 = 56 gallons

 

CHECK: 

BLUE + YELLOW = GREEN

42    +     56      = 98.

Answer 2

Gallons of Blue Paint + Gallons of Yellow Paint = 98 Gallons Paint

can be written as B + Y = 98

 

Ratio of Blue Paint to Yellow Paint = 3:4

can be written as B/Y = 3/4

 

equation 1: B + Y = 98

equation 2: B/Y = 3/4

 

next step, get B by itself by multiplying both sides of equation 2 by Y

This will give you B = 3/4Y or converting fraction to decimal, B = .75Y

 

Substitute this value of B into equation 1 to get .75Y + Y =98

 

leading to 1.75Y = 98

solving for Y = 56

B + Y = 98 , solving for B = 42

42 gallons blue paint

56 gallons yellow paint

Answer 3

ratio is 3:4

blue    yellow

3         4           (7)

6         8           (14)

9        12          (21)

and so on until you get a sum of 98, or...

3x+4x=98

7x=98

x=98/7

x=14

3*14=42 gallons of blue paint

4*14=56 gallons of yellow paint