The answer can not be found from the given information
Step-by-step explanation:
Two different types of tea are sold in your store
- You know 100 cups of tea were sold
- One type sold 5 times as much as the other type
We need to find how much of each type of tea were sold
Assume that the two types are x and y
∵ x represents one type of tea
∵ y represents the other type of tea
∵ 100 cups of tea where sold
- Add x and y, then equate the sum by 100
∴ x + y = 100 ⇒ (1)
∵ x type is 5 times as much as y type
∴ x = 5y ⇒ (2)
Now we have a system of equations to solve it
Substitute x in equation (1) by equation (2)
∴ 5y + y = 100
∴ 6y = 100
- Divide both sides by 6
∴ y = 16.67
<em>But you know number cups must be whole numbers</em>
The number cups can be 102 <em>OR</em> one type is 4 times as much as the other type
If the number of cups is 102, then
85 cups of one type and 17 cups of the other type were sold
If one type is 4 times as much as the other type, then
80 cups of one type and 20 cups of the other type were sold
The answer can not be found from the given information
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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