Question

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.​

Answer 1

15/20 : 2/20 : 3/20 or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher

Explanation:

We know that there are 3 ingredients.

3/4 apple juice

1/10 orange juice

We want to know how much cranberry juice to apple juice to orange juice.

First, let's start with getting common denominators.

The LCD (least common denominator) between these two fractions is 40. (4 * 10)

So:

3/4 * 10/10 = 30/40

1/10 * 4/4 = 4/40

Now we know them with equal denominators. Now let's subtract them from the whole (40/40) to find out how much cranberry juice.

40/40 - 30/40 - 4/40 = 6/40

Cranberry juice = 6/40 of the whole.

Now we can find the ratio in its simplest form.

30/40 : 4/40 : 6/40

Can we simplify these fractions? yes.

The can all be simplified by 2

15/20 : 2/20 : 3/20

Since 2 can't be simplified by anything but 2 or 1, and 15 and 3 cannot be simplified by 2, this is your answer.

or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher.