Answer:
No. He had not made cherry pink paint
Step-by-step explanation:
Rose Pink red : white = 1 : 2
Cherry Pink red : white = 4 : 3
...he adds 80 litres of red paint and 28 litres of white paint.
The question basically want us to check if it follows the ratio.
To have the cherry pink, the ratio must be 4:3 however the ration of paint he mixed is;
80 : 28 which is equivalent to 20 : 7
This means he had not made cherry pink paint
Adding 80 litres of red paint and 28 litres of white paint to the 60 liters of Rose pink paint does not make Cherry pink paint
The ratios are given as:
Rose pink paint-> Red : White = 1 : 2
Cherry pink paint-> Red : White = 4 : 3
When he makes 60 liters of Rose pink paint, the proportion of white and red paints are:
[tex]Red = \frac{1}{1 + 2} \times 60[/tex]
[tex]Red = 20[/tex]
[tex]White = \frac{2}{1 + 2} \times 60[/tex]
[tex]White = 40[/tex]
He then adds 80 liters of red and 28 liters of white paints.
So, the new proportions are:
[tex]Red = 20+80[/tex]
[tex]Red = 100[/tex]
[tex]White = 40+28[/tex]
[tex]White = 68[/tex]
Express as ratio
[tex]Red : White = 100 : 68[/tex]
Simplify to the smallest term
[tex]Red : White = 25 : 17[/tex]
25:17 is not equivalent to 4:3.
Hence, he has not made Cherry pink paint
Read more about ratios and proportions at:
https://brainly.com/question/21602143
