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Inquiry Lab: Unit Rates 1. The ratio of the number of boys to the number of girls on the swim team is 4:2. If there are 24 athletes on the swim team, how many more boys than girls are there? Use a bar diagram to solve. SOLUTION: Let x represent each part of a bar. Write and solve an equation to find the number of athletes each bar represents. 4x + 2x = 24 6x = 24 x = 4 Find the number of boys on the swim team. 4 × 4 = 16 boys Find the number of girls on the swim team. 4 × 2 = 8 girls Subtract the number of girls from the number of boys. 16 - 8 = 8 There are 8 more boys than girls on the swim team. 2. Reason Inductively Suppose the swim team has 24 athletes, but the ratio of boys to girls on the swim team is 3 : 5. How would the bar diagram change? SOLUTION: Sample answer: Since the ratio was 4 boys : 2 girls and would change to 3 boys : 5 girls. The boys’ bar would be shorter than the girls’ bar. The boys’ bar would have 3 parts. The girls’ bar would have 5 parts. ANSWER: Sample answer: The boys’ bar would be shorter than the girls’ bar. The boys’ bar would have 3 parts. The girls’ bar would have 5 parts. 3. Model with Mathematics Write a real-world problem that could be represented by the bar diagram shown below. Then solve your problem. SOLUTION: Sample answer: In Rafael’s card collection, the ratio of baseball cards to football cards is 6:5. If Rafael has 220 total cards, how many cards are baseball cards? 120 baseball cards ANSWER: 8 boys ANSWER: Sample answer: In Rafael’s card collection, the ratio of baseball cards to football cards is 6:5. If Rafael has 220 total cards, how many cards are baseball cards? 120 baseball cards 4. HOW can you use a bar diagram to solve a real-world problem involving ratios? 2. Reason Inductively Suppose the swim team has 24 athletes, but the ratio of boys to girls on the swim team is 3 : 5. How would the bar diagram change? SOLUTION: Sample answer: Since the ratio was 4 boys : 2 girls and would change to 3 boys : 5 girls. The boys’ bar would be shorter than the girls’ bar. The boys’ bar would have 3 parts. The girls’ bar would have 5 parts. eSolutions Manual - Powered by Cognero SOLUTION: Sample answer: Set up a bar for each of the ratio parts. Then use the bar diagram to write and solve an equation. ANSWER: Sample answer: Set up a bar for each of the ratio parts. Then use the bar diagram to write and solve an equation. Page 1 ANSWER: Sample answer: In Rafael’s card collection, the ratio of baseball cards to football cards is 6:5. If Rafael has 220 total many cards are baseball cards? Inquiry Lab:cards, Unithow Rates 120 baseball cards 4. HOW can you use a bar diagram to solve a real-world problem involving ratios? SOLUTION: Sample answer: Set up a bar for each of the ratio parts. Then use the bar diagram to write and solve an equation. ANSWER: Sample answer: Set up a bar for each of the ratio parts. Then use the bar diagram to write and solve an equation. eSolutions Manual - Powered by Cognero Page 2