Cheryl, Rita, and four of their friends go yo a movie and share 48 ounce bag of popcorn equally and three 48 inch licorice laces equally. Write a ratio comparing the numbers of ounces popcorn to the number of friends. Then, write a unit rate comparing the length of licorice lace for each person.
6/48
6/48
The popcorn would be 6/48 and the licorice lace would be 6/144.
6/48
6/144
To write a ratio comparing the number of ounces of popcorn to the number of friends, we need to divide the total number of ounces of popcorn by the total number of friends.
Given that Cheryl, Rita, and four other friends share the popcorn equally, we need to find out the number of friends. Here, we have Cheryl, Rita, and four other friends, which makes a total of 6 friends.
So, the ratio comparing the number of ounces of popcorn to the number of friends is:
48 ounces of popcorn : 6 friends
To simplify this ratio, we can divide both sides by their greatest common divisor, which is 6:
48/6 = 8
6/6 = 1
So, the simplified ratio is:
8 ounces of popcorn : 1 friend.
Now, let's write a unit rate comparing the length of licorice lace for each person. We are given that three 48-inch licorice laces are shared equally among Cheryl, Rita, and their four friends. To find out how much licorice lace each person gets, we need to divide the total length of the licorice laces by the number of people.
Since the licorice laces are divided among 6 people (Cheryl, Rita, and four friends), we divide the total length (3 laces x 48 inches) by 6:
(3 laces x 48 inches) / 6 people
The laces cancel out in the numerator, and we are left with:
48 inches / 6 people
This simplifies to:
8 inches per person
So, the unit rate comparing the length of licorice lace for each person is 8 inches per person.