in order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint, 2 cups of green paint and 1/2 gallon of white paint. How much of each color is needed to make 100 cups of this shade of green paint? Thanks for the help. If you get this correct ill post another free question with free points. But thanks because I really need this ty

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Answer:

37.5 cups of blue

12.5 cups of green

50 cups of white

Step-by-step explanation:

We need  to convert all units to cups

1 1/2 quart blue

3/2 quarts blue

1 quart = 4 cups

3/2 quarts * 4 cups/ quart = 12/2 = 6 cups

1/2 gallon white

1 gallon = 16 cups

1/2 * 16 cups/1 gallon = 8 cups

Blue:     Green :     White    : total

6 cups:   2 cups :   8 cups : 6+2+8

6               2            8             16

We need a total of 100 cups

100/16 =6.25

Multiply each number by 6.25

Blue:      Green :      White    : total

6*6.25      2*6.25   8*6.25   16*6.25

37.5            12.5         50          100

We need

37.5 cups of blue

12.5 cups of green

50 cups of white

37.5 cups of blue paint, 12.5 cups of green paint and 50 cups of white paint are needed to make 100 cups of this shade of green paint.

Since in order to make a specific shade of green paint, a painter mixes 1 1/2 quarts of blue paint, 2 cups of green paint and 1/2 gallon of white paint, to determine how much of each color is needed to make 100 cups of this shade of green paint the following calculation should be performed:

  • 1 quart = 4 cups
  • 1 gallon = 16 cups
  • 6 cups blue paint + 2 cups green paint + 8 cups white paint = 16 cups in total
  • 100/16 = 6.25
  • 6 x 6.25 = blue paint = 37.5 cups
  • 2 x 6.25 = green paint = 12.5 cups
  • 8 x 6.25 = white paint = 50 cups

Therefore, 37.5 cups of blue paint, 12.5 cups of green paint and 50 cups of white paint are needed to make 100 cups of this shade of green paint.

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