Last week Gina's art teacher mixed 9 pint of red paint with 6 pints of white paint to make pink.Gina mixed 4 pints of red paint with 3 pints of white paint to make pink.
Did Gina use the same ratio of red as her teacher? Explain
Gina's teacher = 9:6
Gina = 4:3
A simple way to look at this is my seeing if gina's number of pints are multiples of her teacher's
3 is a multiple of 6 but 4 is not a multiple of 9 therefore the are not the same
To determine if Gina used the same ratio of red paint as her teacher, we need to compare the ratios of red paint to total paint in both cases.
Gina's art teacher mixed 9 pints of red paint with 6 pints of white paint, making a total of 15 pints of paint. So, the ratio of red paint to total paint is 9:15.
On the other hand, Gina mixed 4 pints of red paint with 3 pints of white paint, making a total of 7 pints of paint. So, the ratio of red paint to total paint is 4:7.
Since the ratios of red paint to total paint are different (9:15 for the teacher and 4:7 for Gina), Gina did not use the same ratio of red paint as her teacher.
To check if Gina used the same ratio of red paint as her teacher, we need to compare the proportion of red paint to white paint in both mixtures.
In Gina's mixture, she used 4 pints of red and 3 pints of white paint. So, the ratio of red to white is 4:3.
In her teacher's mixture, 9 pints of red paint were mixed with 6 pints of white paint. To find the ratio of red to white, we can simplify it by dividing both numbers by their greatest common divisor, which is 3 in this case.
So, 9 ÷ 3 = 3 and 6 ÷ 3 = 2. The simplified ratio of red to white in the teacher's mixture is 3:2.
Since Gina's ratio of red to white is 4:3 and her teacher's ratio is 3:2, they are not the same. Gina used a different ratio of red paint compared to her teacher.