Roger mixed 5/8 cup of red paint with 2/5 of yellow paint. How much red paint is needed to mix with one cup of yellow paint?
(5/8) / (2/5) = x / 1
(2/5)x = 5/8
x = (5/8) / (2/5)
x = (5/8) * (5/2
x = 25/16 = 1 9/16
how much yellow paint is needed to mix with one cup of red paint
How much yellow paint is needed to mix with one cup of red paint
To find out how much red paint is needed to mix with one cup of yellow paint, we can follow these steps:
Step 1: Calculate the total amount of paint after mixing the red and yellow paints together.
To do this, we'll add the fractions of red and yellow paint together. The least common denominator (LCD) of 8 and 5 is 40.
Therefore, we need to convert the fractions to have a common denominator of 40.
Red paint: 5/8 * 5/5 = 25/40 cup
Yellow paint: 2/5 * 8/8 = 16/40 cup
Step 2: Determine the ratio between the mixed paints and the amount of yellow paint.
The ratio can be found by dividing the mixed paints by the amount of yellow paint.
Red paint / Yellow paint = 25/40 cup / (16/40) cup = (25/40) / (16/40) = 25/16
Step 3: Calculate the amount of red paint needed to mix with one cup of yellow paint.
Since we know the ratio between the red and yellow paints, we can multiply the ratio by the amount of yellow paint needed (1 cup).
Red paint needed = (25/16) * 1 cup = 25/16 cup
Therefore, to mix with one cup of yellow paint, you would need approximately 25/16 cup of red paint.