Jackson has three colors of socks in his drawer. those colors are black, white, and red. The ratio of the number of black socks to the number of white socks is 4 : 3 4:3 and the ratio of the number of white socks to the number of red socks is 2 : 3 2:3 . What is the ratio of the number of black socks to the number of red socks?
To find the ratio of the number of black socks to the number of red socks, we need to combine the two given ratios.
The first ratio tells us that for every 4 black socks, there are 3 white socks.
The second ratio tells us that for every 2 white socks, there are 3 red socks.
To find the ratio of black socks to red socks, we can multiply the two ratios together:
(4 black / 3 white) * (2 white / 3 red) = (8 black / 9 red)
Therefore, the ratio of black socks to red socks is 8:9.
To find the ratio of the number of black socks to the number of red socks, we need to first find the actual number of socks in each color.
Let's assume the number of black socks is 4x, where x is a positive integer.
The number of white socks would then be 3x, based on the given ratio of 4:3.
The number of red socks would be 2/3 times the number of white socks, or (2/3) * 3x = 2x.
So, we have:
Number of black socks = 4x
Number of white socks = 3x
Number of red socks = 2x
Now, let's find the ratio of the number of black socks to the number of red socks:
Ratio = Number of black socks : Number of red socks
= 4x : 2x
= 4 : 2
The ratio of the number of black socks to the number of red socks is 4 : 2, or simplified as 2 : 1.
To find the ratio of the number of black socks to the number of red socks, we need to use the given ratios.
First, let's assign variables to the unknown quantities. Let B represent the number of black socks, W represent the number of white socks, and R represent the number of red socks.
From the information given, we know that the ratio of black socks to white socks is 4:3. This can be written as B/W = 4/3.
Similarly, the ratio of white socks to red socks is 2:3. This can be written as W/R = 2/3.
We want to find the ratio of black socks to red socks, which can be represented as B/R.
To find this ratio, we can combine the two given ratios by multiplying them together:
(B/W) * (W/R) = (4/3) * (2/3)
Simplifying this expression, we get:
(B/R) = (8/9)
Therefore, the ratio of black socks to red socks is 8:9.