Q1: After taking a survey of your class, you learned that two out of three students in your class prefer chocolate ice cream over vanilla. If there are 240 students in your grade, how could you use this ratio to predict how many students in your grade prefer chocolate ice cream over vanilla?

Q2: The ratio of the points Elijah scored during the basketball game to the number of points Liam scored is 3 to 4. Elijah scored12 points. How many points did Liam score?

Q3: Swanton Middle School has 800 students. In Mia's class, 5 out of 8 students ride the bus to school. Based on these results, how many students at the school are expected to ride the bus?

Q4: In a survey of randomly selected people, the ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5. If 21 people said they prefer oatmeal, how many said they prefer eggs?


### Q1: Predicting Chocolate Ice Cream Preference
You are given that the ratio of students who prefer chocolate ice cream to vanilla is \( \frac{2}{3} \). To predict how many students in the entire grade of 240 prefer chocolate, you use the ratio to set up a proportion:
\[
\frac{2}{3} = \frac{x}{240}
\]
where \( x \) is the number of students who prefer chocolate ice cream.

Solving for \( x \):
\[
x = \frac{2}{3} \times 240 = 160
\]
So, **160 students** are expected to prefer chocolate ice cream.

---

### Q2: Liam's Points in Basketball
The ratio of points scored by Elijah to Liam is \( 3:4 \). If Elijah scored 12 points, you can set up the proportion to find Liam’s score:
\[
\frac{3}{4} = \frac{12}{x}
\]
where \( x \) is Liam's score.

Solving for \( x \):
\[
x = \frac{4}{3} \times 12 = 16
\]
So, **Liam scored 16 points**.

---

### Q3: Students Riding the Bus at Swanton Middle School
The ratio of students in Mia’s class who ride the bus is \( \frac{5}{8} \). To estimate the number of students out of the 800 total who ride the bus, set up a proportion:
\[
\frac{5}{8} = \frac{x}{800}
\]
where \( x \) is the total number of students who ride the bus.

Solving for \( x \):
\[
x = \frac{5}{8} \times 800 = 500
\]
So, **500 students** are expected to ride the bus.

---

### Q4: People Who Prefer Eggs
The ratio of people who prefer oatmeal to those who prefer eggs is \( 3:5 \). If 21 people said they prefer oatmeal, set up the proportion:
\[
\frac{3}{5} = \frac{21}{x}
\]
where \( x \) represents the number of people who prefer eggs.

Solving for \( x \):
\[
x = \frac{5}{3} \times 21 = 35
\]
So, **35 people** prefer eggs.

---

Do you want more details or have any questions?

Here are 5 related questions:
1. How can you express a ratio as a fraction in simplest form?
2. What is the difference between a ratio and a proportion?
3. If 75 out of 100 people prefer chocolate, what ratio describes this preference?
4. How can you determine the total number of outcomes if given a ratio?
5. What are some real-world scenarios where ratios and proportions are used?

**Tip**: To solve proportions, cross-multiply and then divide to isolate the unknown variable.

Q1: After taking a survey of your class, you learned that two out of three students in your class prefer chocolate ice cream over vanilla. If there are 240 students in your grade, how could you use this ratio to predict how many students in your grade prefer chocolate ice cream over vanilla?

Q2: The ratio of the points Elijah scored during the basketball game to the number of points Liam scored is 3 to 4. Elijah scored 12 points. How many points did Liam score?

Q3: Swanton Middle School has 800 students. In Mia's class, 5 out of 8 students ride the bus to school. Based on these results, how many students at the school are expected to ride the bus?

Q4: In a survey of randomly selected people, the ratio of people who prefer oatmeal to those who prefer eggs is 3 to 5. If 21 people said they prefer oatmeal, how many said they prefer eggs?

Learn how to solve real-world ratio and proportion problems, including predicting chocolate ice cream preference, basketball scoring ratios, and student bus riding estimates. This guide provides step-by-step solutions and is suitable for students in Grades 5-7.

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