Lesson 10
Solving Equivalent Ratio Problems
Problem 1
A chef is making pickles. He needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. Decide whether each of the following ratios correctly represents the price of vinegar.
 4 gallons to $3.00
 1 gallon to $1.50
 30 gallons to $45.00
 $2.00 to 30 gallons
 $1.00 to \(\frac23\) gallon
Solution
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Problem 2
A caterer needs to buy 21 pounds of pasta to cater a wedding. At a local store, 8 pounds of pasta cost $12. How much will the caterer pay for the pasta there?
 Write a ratio for the given information about the cost of pasta.
 Would it be more helpful to write an equivalent ratio with 1 pound of pasta as one of the numbers, or with $1 as one of the numbers? Explain your reasoning, and then write that equivalent ratio.
 Find the answer and explain or show your reasoning.
Solution
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Problem 3
Lin is reading a 47page book. She read the first 20 pages in 35 minutes.
 If she continues to read at the same rate, will she be able to complete this book in under 1 hour?

If so, how much time will she have left? If not, how much more time is needed? Explain or show your reasoning.
Solution
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Problem 4
Diego can type 140 words in 4 minutes.
 At this rate, how long will it take him to type 385 words?
 How many words can he type in 15 minutes?
If you get stuck, consider creating a table.
Solution
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Problem 5
A train that travels 30 miles in \(\frac13\) hour at a constant speed is going faster than a train that travels 20 miles in \(\frac12\) hour at a constant speed. Explain or show why.
Solution
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(From Unit 2, Lesson 7.)Problem 6
Find the surface area of the polyhedron that can be assembled from this net. Show your reasoning.
Solution
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(From Unit 1, Lesson 11.)