A shop sells only red,blue, and green T-shirts.The colours are in the ratio of 3:4:5.The shop has 20blue T-shirts.
How many T-shirt s does it have altogether?
Let the number of red, blue, and green shirts be 3x, 4x, and 5x respectively.
you are given that 4x = 20
find x, then sub into my definitions to find the number of each. Easy to find their sum.
To find out the total number of T-shirts, we need to know the ratio of the three colors. Given that the ratio of the colors is 3:4:5 and the shop has 20 blue T-shirts, we can determine the ratio as follows:
Let's assume the ratio of red, blue, and green T-shirts is 3x:4x:5x (where 'x' is a constant).
According to the given information, we know that the number of blue T-shirts is 20, which corresponds to 4x (as per the ratio). Solving for 'x', we can set up the following equation:
4x = 20
Dividing both sides by 4:
x = 20/4
x = 5
Now, we know that the value of 'x' is 5, and we can calculate the total number of T-shirts by substituting 'x' back into the ratio:
Red T-shirts: 3x = 3 * 5 = 15
Blue T-shirts: 4x = 4 * 5 = 20
Green T-shirts: 5x = 5 * 5 = 25
Therefore, the shop has a total of 15 red T-shirts, 20 blue T-shirts, and 25 green T-shirts.
Adding them together:
Total T-shirts = Red T-shirts + Blue T-shirts + Green T-shirts
= 15 + 20 + 25
= 60
So, the shop has a total of 60 T-shirts altogether.