envy79
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Jaya is mixing paint. She mixes 6 parts blue, 2 parts red, 5 parts gray, and 7 parts purple.
Which is the ratio of blue to the total amount of paint?

Respuesta :

msm555

Answer:

3:10

Step-by-step explanation:

To find the ratio of blue to the total amount of paint, we need to add up the total number of parts and then determine the ratio of blue parts to the total.

  • Blue parts: 6
  • Red parts: 2
  • Gray parts: 5
  • Purple parts: 7

[tex]\textsf{Total parts: 6 (blue) + 2 (red) + 5 (gray) + 7 (purple)} \\\\ \sf = 20 parts[/tex]

Now, the ratio of blue to the total amount of paint is the number of blue parts divided by the total parts:

[tex]\begin{aligned} \textsf{Ratio of blue to total } &= \dfrac{ \textsf{ Number of blue parts}}{\textsf{Total parts }} \\\\ & = \dfrac{ 6\textsf{ (blue parts) }}{20\textsf{ (total parts)} } \\\\ & = \dfrac{ 3\cdot \cancel{2}}{10 \cdot \cancel{2}} \\\\ & =\dfrac{3}{10}\end{aligned} [/tex]

So, the ratio of blue to the total amount of paint is 3:10.

Answer:

6:20 or 3:10

Step-by-step explanation:

Let's find the ratio:

In order to find the ratio / rate of blue to the total amount of paint, we first have to add up all of the parts to get the total number and then determine the ratio of blue parts to the total.

Information:

  • Blue Parts = 6
  • Red Parts = 2
  • Gray Parts = 5
  • Purple Parts = 7

Total Parts = 6 ( Blue ) + 2 ( Red ) + 5 ( Gray ) + 7 ( Purple )

Total Parts = 20

There are a total of 20 parts.

Now, the ratio of blue to the total amount of paint is equal to 6:20 because there are 6 parts blue and 20 total parts.

6 : 20 is our ratio of blue to the total amount of paint.

We can simplify the ratio and divide each side by 2.

You'll get 3 : 20 as the simplified ratio.