A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting to see this movie is 3:2, how many adults are in line? Use a tape diagram to help organize your thinking.(1 point)

Answer 1

To solve this problem using a tape diagram, we can start by drawing a rectangle to represent the total number of people in line. Then, we can divide the rectangle into 5 equal parts, representing each person.

The ratio of kids to adults is 3:2, which means for every 3+2=<<3+2=5>>5 parts representing people, 3 parts represent kids, and 2 parts represent adults.

Since there are 155 people in line, each part represents 155/5=<<155/5=31>>31 people.

Therefore, there are 2*31=<<2*31=62>>62 adults in line. Answer: \boxed{62}.

Answer 2

Question
A trail mix recipe calls for 1 cup of nuts for every 2 cups of granola. If you want to make 12 cups of trail mix, how many cups of granola will you need? Use a tape diagram to help organize your thinking.(1 point)

Answer 3

To solve this problem using a tape diagram, we can start by drawing a rectangle to represent the total amount of trail mix. Then, we can divide the rectangle into 3 equal parts, representing each cup.

The ratio of nuts to granola is 1:2, which means for every 1+2=3 parts representing cups, 1 part represents nuts and 2 parts represent granola.

Since we want to make 12 cups of trail mix, each part represents 12/3= <<12/3=4>>4 cups.

Therefore, we will need 2*4= <<2*4=8>>8 cups of granola. Answer: \boxed{8}.