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October 17, 2014
Lesson 16 Problem Set
The Scott family is trying to save as much money as possible. One way to cut back on the money
they spend is by finding deals while grocery shopping; however, the Scott family needs help
determining which stores have the better deals.
1. At Grocery Mart, strawberries cost $2.99 for 2lbs., and at Baldwin Hills Market strawberries are
$3.99 for 3 lbs.
a. What is the unit price of strawberries at each grocery store? If necessary, round to the
nearest penny.
Grocery Mart: $1.50 per pound (rounded to nearest penny)
Baldwin Hills Market: $1.33 per pound
b. If the Scott family wanted to save money, where should they go to buy strawberries? Why?
The Scott family should got to Baldwin Hills Market because the strawberries cost $0.27 less than
at Grocery Mart.

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2. Potatoes are on sale at both Grocery Mart and Baldwin Hills Market. At Grocery Mart, a 5lb bag of
potatoes cost $2.85 and at Baldwin Hills Market a 7 lbs bag of potatoes costs $4.20. Which store offers
the best deal on potatoes? How do you know? How much better is the deal?
Grocery Mart: $0.57 per pound
Baldwin Hills Market: $0.60 per pound
Grocery Mart offers the best deal on potatoes because potatoes cost $0.03 less per pound at Grocery
Mart when compared to Baldwin Hills Market.

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October 17, 2014
Problem Set Lesson 17
1. Once a commercial plane reaches the desired altitude, the pilot
often travels at a cruising speed. On average, the cruising speed is 570
miles/hour. If a plane travels at a cruising speed for 7 hours, how far
does the plane travel while cruising at this speed?
3,990 miles
2. Denver, Colorado often experiences snowstorms resulting in
multiple inches of accumulated snow. During the last snow storm, the
snow accumulated at inch/hour. If the snow continues at this rate for
10 hours, how much snow will accumulate?
8 inches
45

4. Module 1 Lesson 18 Finding a Rate by Dividing Two Quantities.notebook
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Module 1
Ratios and Unit Rates
Topic C: Collections of Equivalent Ratios
Lesson 18: Finding a Rate by Dividing Two
Quantities
Student Outcomes
While there is no physical way to divide two different quantities like (5 miles)/(2 hours), students make use
of the structure of division and ratios to model (5 miles)/(2 hours) as a quantity 2.5 mph. Interpreting a
rate as a division of two quantities, or better yet a fraction, is the first step towards converting
measurement units using rates later in the module, and dimensional analysis in high school. They use this
interpretation of a rate in word problems when multiplying a rate by a quantity, as in:

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Classwork
Mathematical Modeling Exercises
1. At Fun Burger, the Burger Master can make hamburgers at a rate of 4 burgers/
minute. In order to address the heavy volume of customers, he needs to continue at
this rate for 30 minutes. If he continues to make hamburgers at this pace, how many
hamburgers will the Burger Master make in 30 minutes?
At what rate does the Burger Master make hamburgers?
How long does the Burger Master make hamburgers?
Multiply the rate by the amount of time the Burger Master works.
Answer the question asked in the problem.

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2. Chandra is an editor at the New York Gazette. Her job is to read over each article
before it is printed in the newspaper. If Chandra can read 10 words/second, how
many words can she read in 60 seconds?
At what rate does Chandra read?
How long does Chandra have to read?
Multiply the unit rate by the amount of time Chandra reads.
Answer the question asked in the problem.

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Station One
Helena works for a publishing firm.
She is considered an average typist and
can type 52 words/minute. If she
continues at this rate, how many
minutes would it take Helen to type 104
words?
If Helena types at a constant rate of 52 words/minute, she can
type 104 words in 2 minutes.

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Station Two
Jaxon test drives cars for a car
company. Part of his job is to test
the cruise control on a testing course.
On his last test drive, Jaxon set the
cruise control at 48 miles/hour and
drove for 2 hours. How many miles did
Jaxon drive?
If Jaxon drives at a constant rate of 48 miles/hour, he can
drive 96 miles in 2 hours.

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October 17, 2014
Station Three
To train for an upcoming marathon, Alvin
runs 9 miles a day. If Alvin runs 9 miles
every day for 30 days, how many total
miles will he run?
If Alvin runs 9 miles every day for 30 days, he
would run a total of 270 miles.

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October 17, 2014
Station Four
A library just hired Brittany to write
reviews on different books. The job
requires Brittany to read 3 books/week.
If Brittany reads a total of 36 books, how
many weeks will she work?
If Brittany is required to read 3 books/week, she would have to
work 12 weeks in order to read 36 books.

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Station Five
Notebooks are on sale for 4 notebooks/
dollar. Mrs. Day wants to buy notebooks
for her students but only has $12 to spend.
How many notebooks can Mrs. Day buy?
If notebooks are on sale 4 notebooks/dollar, then Mrs. Day can
buy 48 notebooks for $12.

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October 17, 2014
Station Six
Kevin hopes to earn a college basketball
scholarship. To improve his shooting skills,
Kevin shoots 50 baskets/day. If Kevin
shoots 50 baskets every day for 60 days,
how many shots would Kevin take?
If Kevin continues to shoot 50 baskets/day for 60 days, he
would shoot a total of 3,000 baskets.

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Closing
Please take out your exit ticket for Lesson 18, close your
binder, and complete the exit ticket. This will be collected.

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October 17, 2014