Solving Proportions
Unit 5 – Identifying and Writing Proportions in Word Problems
Determine Whether the Ratios are Proportional – Example Gemma can scoop 5 dishes of ice cream in 4 minutes. Hardy can scoop 8 dishes of ice cream in 6 minutes. Are their scooping rates proportional? 𝐝𝐢𝐬𝐡𝐞𝐬 𝐦𝐢𝐧𝐮𝐭𝐞𝐬 → 𝟓 𝟒 = 𝟖 𝟔 No, their rates are not proportional. 30 32
Determine Whether the Ratios are Proportional – Example Farmer Ted noticed that one of his chickens laid 5 eggs every 4 hours and that another chicken laid 30 eggs every day. Do the two chickens lay eggs at a proportional rate? 𝐞𝐠𝐠𝐬 𝐡𝐨𝐮𝐫𝐬 → 𝟓 𝟒 = 𝟑𝟎 𝟐𝟒 Yes, their rates are proportional. 120 120
Determine Whether the Ratios are Proportional – Independent Practice 1. Claire’s sells a package of 3 charm bracelets for $3.78. Accessory Place sells 8 charm bracelets for $10.08. Are the prices proportional? 𝐛𝐫𝐚𝐜𝐞𝐥𝐞𝐭𝐬 $ → 𝟑 𝟑.𝟕𝟖 = 𝟖 𝟏𝟎.𝟎𝟖 Yes, their rates are proportional. 2. A basketball team scored 64 points in their first 4 games and 126 points in the next 7 games. Was the rate of points proportional for the first 4 games and next 7 games? 𝐩𝐨𝐢𝐧𝐭𝐬 𝐠𝐚𝐦𝐞𝐬 → 𝟔𝟒 𝟒 = 𝟏𝟐𝟔 𝟕 No, the rates are not proportional.