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1. Johan works in a cafe. One morning, he sells 48 cups of tea and 12 cups of coffee.

(a) Write down the ratio of the number of cups of tea to the number of cups of coffee. Write your answer in its simplest form.

Answer :

Final answer:

The ratio of cups of tea to cups of coffee sold by Johan is 4:1 after simplifying the initial ratio of 48:12. This is reached by dividing both terms by their greatest common divisor, which is 12. Therefore, for every 4 cups of tea, 1 cup of coffee is sold.


Explanation:

Finding the Ratio of Tea to Coffee Sold

In this problem, we want to find the ratio of cups of tea sold to cups of coffee sold by Johan in the café. Johan sold a total of 48 cups of tea and 12 cups of coffee.

To express the ratio, we denote it as:

  • Cups of tea : Cups of coffee
  • Which gives us: 48 : 12

Next, we simplify this ratio. To do so, we need to find the greatest common divisor (GCD) of 48 and 12:

  1. The GCD of 48 and 12 is 12.

Now, we divide both terms of the ratio by the GCD:

  • 48 ÷ 12 = 4
  • 12 ÷ 12 = 1

This gives us the simplified ratio of:

4:1

This means that for every 4 cups of tea sold, there is 1 cup of coffee sold.


Learn more about ratio here:

https://brainly.com/question/40200110


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Rewritten by : Jeany

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