Answer:
Brielle will need:
- 3 red cups
- [tex]\frac{14}{3}[/tex] white cups
Step-by-step explanation:
1) Create a proportion
We will use this proportion to solve for the number of red cups Brielle will need.
[tex]\frac{14 (blue cups)}{9 (red cups)} =\frac{4(bluecups)}{x(redcups)}[/tex]
2) Cross multiply
[tex]12x=4*9\\12x=36\\\frac{12x}{12}=\frac{36}{12}\\x=3[/tex]
Therefore, Brielle will need 3 red cups to match the original paint colour.
3) Create a second proportion
We will use this proportion to solve for the number of white cups Brielle will need. We can set it up using the number of red cups or the number of blue cups (since we now have both the values) but it doesn't matter which one we pick.
[tex]\frac{12(bluecups)}{14(whitecups)} =\frac{4(bluecups)}{x(whitecups)}[/tex]
4) Cross multiply
[tex]12x=14*4\\12x=56\\\frac{12x}{12} =\frac{56}{12}\\x=\frac{14}{3}[/tex]
Therefore, Brielle will need [tex]\frac{14}{3}[/tex] white cups to match the original paint colour.
I hope this helps!
