To mix a particular shade of purple paint red paint and blue paint are mixed in the ratio 5 : 3. to make 20 gallons of this shade of purple paint how many gallons of red and blue paint should be used

We would need:

The ratio of Red paint to Blue paint is 5 : 3.

This means that, if we were mixing only a single gallon of purple paint, the percentage of red used would be:

= Ratio of red to blue / (sum of ratios of red and blue)

= 5 / (5 + 3)

= 5 /

= 62.5%

For blue it would be:

= 3 / 8

= 37.5%

If we are to make 20 gallons of purple therefore, the red needed is:

= Percentage of red in single gallon x number of purple gallons needed

= 62.5% x 20

= 12.5 gallons of red

For blue we would need:

= Percentage of blue in single gallon x number of purple gallons needed

= 37.5% x 20

= 7.5 gallons of blue

In conclusion, we would need 12.5 gallons of red paint and 7.5 gallons of blue paint to make 20 gallons of purple paint.

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The amount of red paint required =12.5 gallon

The amount of blue paint required =7.5 gallon

Step-by-step explanation:

Given : To mix a particular shade of purple paint red paint and blue paint are mixed in the ratio 5 : 3.

Let 5x be the amount of red paint and 3x be the amount of blue paint.

To make 20 gallons of this shade of purple paint, we have

Now, the amount of red paint required = 5(2.5)=12.5 gallon

The amount of blue paint required = 3(2.5)=7.5 gallon

the size of the resulting matrix is 1-by-3.

step-by-step explanation:

the size of the two matrices given are as follows:

no .of rows of matrix 1 = 1

no .of columns of matrix 1 = 3

no .of rows of matrix 1 = 3

no .of columns of matrix 1 = 3

to find the size of the resulting matrix without actually solving the multiplication of the matrix, this is what you do:

if resulting matrix = matrix 1 * matrix 2

no. of rows of the resulting matrix = number of rows of matrix 1

no. of columns of resulting matrix = number of columns of matrix 2

note: the order of the matrices matter!