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Naily [24]
4 years ago
6

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 th

e other type,how much of each type of tea were sold
Mathematics
1 answer:
Ugo [173]4 years ago
6 0

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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[see below]

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Basile [38]

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Mai drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mai drove hom
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Answer:

Mai lives 384 miles away from the mountains

Step-by-step explanation:

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\text{Distance}}=\text{Time}\times \text{Speed}

d=8r...(1)

We are also told that when Mai drove home, there was no traffic and the trip only took 6 hours. Her average rate was 16 miles per hour faster on the trip home.

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Upon equating equation (1) and equation (2), we will get:

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d=8r\Rightarrow 8(48)=384

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