Question

I will name you brainliest!

Answer 1

Answer:

Step-by-step explanation:

a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow.

How can you fix the mixture to make the correct shade of red?

:

The red:yellow ratio is 7:2, we can write the mixture as 7%2F9 or 77.8% red

:

The existing mixture of 35:8 is a 43 quart mixture and can be written as: 35%2F43 or 81.4% red

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we need to add yellow to reduce the per cent of red

:

Let y = amt of yellow required to do this

:

 

7%2F9*(y+43) = 35

Multiply both sides by 9

7(y+43) = 9 * 35

7y + 301 = 315

7y = 315 - 301

7y = 14

y = 14/7  

y = 2 quarts of yellow to be added, for total mixture of 45 quarts

;

:

Check this, it still contains 35 quarts of red but the percentage has changed

35%2F45 = 77.8% red which is what we want, a ratio of 7:2

here you go i hope it helps