An interior decorator must mix red and white paint in the ratio of 2:5 in order to obtain the correct colour pink. If she needs 28 litres of pink paint, calculate how much red paint and how much white paint shem must use to obtain the right colour.
Let x = red paint
2/7 = x/28
r = litres of red paint
w = litres of white paint
r + w = 28
r/w = 2/5
so: 5r = 2w which leads to
r = (2/5)(w)
Replace r in the first equation with the (2/5)(w)
that will give you 7/5 w = 28
Can you finish from here?
To calculate the amount of red and white paint required to obtain the right color of pink paint, we can use the given ratio of 2:5.
Step 1: Determine the total number of parts in the ratio.
The total number of parts in the ratio is calculated by adding the numbers in the ratio, which in this case is 2 + 5 = 7.
Step 2: Calculate the amount of paint needed for one part of the ratio.
To find the amount of paint needed for one part, divide the desired total quantity of pink paint (28 liters) by the total number of parts in the ratio (7). This gives us 28/7 = 4 liters as the amount of paint needed for one part.
Step 3: Calculate the amount of red paint.
Since the ratio of red to white paint is 2:5, we need to multiply the amount of paint needed for one part by the respective ratio components. Therefore, the amount of red paint needed is 2 parts x 4 liters/part = 8 liters.
Step 4: Calculate the amount of white paint.
Using the same method as above, the amount of white paint needed is 5 parts x 4 liters/part = 20 liters.
Therefore, the interior decorator must use 8 liters of red paint and 20 liters of white paint to obtain the correct shade of pink.