Question

A shop-keeper mixes 600ml of orange juice with 900ml of apple juice to make a fruit drink. Write the ratio of orange juice to apple juice in the fruit drink in its simplest form.

Answer 1

Hint: Firstly we have to know what is called ratio, then how a ratio works. After knowing about the ratio, we have to divide each term in the ratio by the same number which is 300. Then we can get the required answer.

Complete step-by-step answer:
We know that the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. For example we can say that the ratio of men to women employees in an office is 8 is to 1. Meaning in an office if there are 9 staff in total, out of which 8 are men and 1 is woman.
There are many ways to make the same comparison, by using equal ratios. To find an equal ratio, you can either multiply or divide each term in the ratio by the same number (but not zero).
For example, if we divide both terms in the ratio 3 : 6 by the number 3, then we get the equal ratio, 1 : 2.
In our solution a shop-keeper mixes 600ml of orange juice with 900ml of apple juice to make a fruit drink.
The ratio of orange juice to apple juice in the fruit drink is,
600 : 900
Now we divide both terms in the ratio 600 : 900 by the number 300 we get 2 : 3.
So 2 : 3 ratio of orange juice to apple juice in the fruit drinks in its simplest form.

Note: Students have to remember we can either multiply or divide the ratio with each term in the ratio by the same number. But we cannot multiply or divide any ratio with zero, because if we multiply with zero the value of the ratio becomes zero and if we divide any number with zero then the ratio becomes infinite. If the question was to find the ratio of orange juice and apple juice in the fruit drink, then we have to add 600+900=1500 and then take respective ratios as 600 : 1500 and 900 : 1500.