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
:
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
