two different type of teas are sold in your store. If you know 100 cups of tea were sold and one type sold 5 times as much as the other type, how much of each type of tea were sold

We know there is a total of 100 cups of tea sold and that there are two types of teas involved.

x = tea 1

y = tea 2

We can set up two equations and use substitution to solve:

x + y = 100 cups of tea sold total

One of the teas sold 5 times as much as the other. Let's believe that this was tea 1:

x = 5y (5 times as much means multiplication, and 'other' means y)

If x = 5y, then this must be true for the first equation. So we'll test this by plugging it in:

5y + y = 100

6y = 100

y = about 16.67

Now we can use this number to solve for x in the original equation:

x + 16.67 = 100

x = 83.33