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)
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}.
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)
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}.
To solve this problem, we can use a tape diagram to represent the number of kids and adults in line.
Let's start by representing the number of kids in line as "3x" and the number of adults in line as "2x".
The total number of people in line is 155, so we can write the equation:
3x + 2x = 155
Combining like terms, we get:
5x = 155
Dividing both sides by 5, we find:
x = 31
Now, we can substitute x back into our original expressions to find the number of kids and adults:
Number of kids = 3x = 3 * 31 = 93
Number of adults = 2x = 2 * 31 = 62
Therefore, there are 62 adults in line to see the movie.
To determine the number of adults in line, we need to find the number of adults based on the given ratio.
First, we need to calculate the total number of parts in the ratio. In this case, the total number of parts is 3 + 2 = 5.
Next, we divide the total number of people in line (155) by the total number of parts (5) to find the value of each part: 155 ÷ 5 = 31.
Since each part represents 31 people, we can multiply the number of parts by 2 to find the number of adults: 2 × 31 = 62.
Therefore, there are 62 adults in line.