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10 May, 12:44

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

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  1. 10 May, 14:01
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    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
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