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:

12.5 gallons of red paint 7.5 gallons of blue paint

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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I’d say d hope it

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.