Solving Proportions – Table 1 Determine if the ratios are proportional. 3 4 , 5 6 Write a proportion using the given ratio and another equivalent ratio. 4 5 Solve algebraically: Ms. Bottiglieri sees a sign while shopping advertising 4 ounces of chocolate for $5.80. How much would 9 ounces of the same chocolate cost?

Solving Proportions – Table 2 Solve algebraically 𝑥 9 = 4 6 Write a proportion using the given ratio and another equivalent ratio. 7 4 Solve algebraically: Mrs. Castaldo bought 3 boxes of tea for $15.75. If she had paid $36.75, how many boxes of tea would she have purchased?

Solving Proportions – Table 3 Determine if the ratios are proportional. 5 8 , 10 16 2. Fill in the ratio table. 3. Solve algebraically: A student buys 6 drawing pencils for $3.90. Determine the cost of 10 pencils. 3 6 9 5 10 20

Solving Proportions – Table 4 Solve algebraically. ℎ 2 = 3 16 Ms. Toolan reads 5 books in two weeks and Mr. Tinnirello reads 8 books in three weeks. Do they read at the same rate? Matt can type 216 words in 6 minutes. Lya can type 128 words in 4 minutes. Which statement is supported by the information? a. Matt can type faster than Lya b. Lya can type faster than Matt c. In 209 minutes, Matt can type 88 more words than Lya d. Matt and Lya typing at the same time need 10 minutes to type 355 words

Solving Proportions – Table 5 Determine if the ratios are proportional. 6 4 , 48 36 If the ratios 𝑎 𝑏 𝑎𝑛𝑑 𝑥 𝑦 form a proportion, do the reciprocals 𝑏 𝑎 𝑎𝑛𝑑 𝑦 𝑥 also form a proportion? Solve algebraically: Ms. Englander is throwing a holiday party and wants to make fondue. The recipe calls for 8 ounces of cheese to make 10 ounces of fondue. How many ounces of cheese will Ms. Englander need if she wants to serve 36 ounces of fondue?

Solving Proportions – Table 6 Solve algebraically 21 36 = 7 𝑛 Write a proportion using the given ratio and another equivalent ratio. 5 3 3. Solve algebraically: A hybrid car can travel 260 miles using 5 gallons of gas. How many miles can the car travel using 8 gallons of gas?

Solving Proportions – Table 7 DeCicco’s is selling 3 Macintosh apples for $1.20 and 5 Red Delicious apples for $2.10. Are the rates for the two varieties of apples proportional? Explain three ways that you can determine whether the ratios 45 50 and 18 20 for a proportion. Solve algebraically: A glacier moves about 12 inches every 36 hours. About how far does the glacier move in one week?

Solving Proportions – Table 8 DeCicco’s is selling 3 Macintosh apples for $1.20 and 5 Red Delicious apples for $2.10. Are the rates for the two varieties of apples proportional? Write a proportion using the given ratio and another equivalent ratio. 13 5 Solve algebraically: Mrs. Lawlor is knitting doll sweaters for a Girl Scout Craft Fair. The pattern requires 2 balls of yarn for 3 sweaters. If she has promised to make 10 sweaters, how many balls of yarn will she need? (Assume you can buy exactly the amount of yard needed at Mrs. Lawlor’s favorite yarn store.)