Download 1. The ratio of the number of boys to the number of girls on the swim

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.
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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.
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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
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