Azeriah is making punch with orange juice and pomegranate juice. She mixes the two juices according to the amounts indicated in the table below. How many cups of pomegranate juice should she add to 25 cups of orange juice? < (1 point) cups of pomegranate juice
number of cups of orange juice number of cups of pomegranate juice
5 3
20 12
25 ?
To find out how many cups of pomegranate juice Azeriah should add to 25 cups of orange juice, we need to look at the pattern in the table.
From the first row, we can observe that for every 5 cups of orange juice, there are 3 cups of pomegranate juice. This means that the ratio of orange juice to pomegranate juice is 5:3.
From the second row, we can observe that for every 20 cups of orange juice, there are 12 cups of pomegranate juice. This means that the ratio of orange juice to pomegranate juice is 20:12, which can be simplified to 5:3, just like the first row.
Since the ratio of orange juice to pomegranate juice is the same in both rows, we can conclude that this ratio applies for all rows.
Therefore, for every 5 cups of orange juice, Azeriah needs to add 3 cups of pomegranate juice.
Since she has 25 cups of orange juice, we can calculate how many cups of pomegranate juice she needs to add:
25 cups/5 cups = 5
So, Azeriah should add 5 cups of pomegranate juice to 25 cups of orange juice.
are u sure
Apologies for the confusion. Let me correct my previous response.
From the first row, we can see that for every 5 cups of orange juice, there are 3 cups of pomegranate juice. Therefore, the ratio of orange juice to pomegranate juice is 5:3.
To find out how much pomegranate juice should be added to 25 cups of orange juice, we can set up a proportion:
5 cups of orange juice / 3 cups of pomegranate juice = 25 cups of orange juice / x cups of pomegranate juice
Cross-multiplying, we get:
5x = 3 * 25
5x = 75
Dividing both sides by 5, we find:
x = 75 / 5
x = 15
So, Azeriah should add 15 cups of pomegranate juice to 25 cups of orange juice.
Apologies again for the previous incorrect response.