(Solved):     Compare and contrast tape Equivalent ratios are ratios that represent the same di ...

 

 

Compare and contrast tape Equivalent ratios are ratios that represent the same diagrams and double number \( \quad \) part-to-part or part-to-whole relationship. line models for representing \( \quad \) You can set up a proportion and use reasoning to ratio relationships. Use an \( \quad \) create equivalent ratios to solve problems. example in your description. Ms. Yoto is putting together bags of fruit that contain 1 pear for every 2 apples. Draw a model to answer each question. Explain your reasoning. (a) How many apples are in the bag if (b) How many pieces of fruit are there there are a total of 9 pieces if there are 8 apples in the bag? (2) When creating playlists for dances, DJ Lew likes to maintain a ratio of 4 hip hop songs: 3 country songs: 1 slow song. Use a tape diagram to determine each answer. (a) Suppose DJ Lew has 40 songs on (b) Suppose DJ Lew wants to put his playlist. How many hip hop, 36 hip hop songs on the playlist. country, and slow songs are on How many total songs will be on the playlist? the playlist? Scale up or scale down to determine each unknown quantity. (a) \( \frac{2 \text { teachers }}{26 \text { students }}=\frac{8 \text { teachers }}{?} \) (b) \( \frac{12 \text { inches }}{1 \text { foot }}=\frac{?}{18 \text { feet }} \) \( \frac{\$ 39,000}{1 \text { year }}=\frac{?}{3 \text { years }} \) \( \frac{\$ 40}{15 \text { gallons }}=\frac{?}{3 \text { gallons }} \) (d) \( \frac{18 \text { pencils }}{1 \text { box }}=\frac{108 \text { pencils }}{?} \) A mason is a person who builds structures with bricks, stone, cement block, or tile. A mason usually uses mortar to hold the bricks together. A general rule of thumb in masonry is that \( 2 \frac{1}{2} \) bags of mortar are needed for every 100 cement blocks. Use a double number line to determine each answer. How many bags of mortar will a mason need for 350 blocks? With \( 12 \frac{1}{2} \) bags of mortar, how many blocks can the mason lay? Optional Scale up or scale down each ratio to complete the proportion. \[ \frac{7 \text { cups of red dye }}{10 \text { cups of yellow dye }}=\frac{?}{25 \text { cups of yellow dye }} \] \[ \frac{\$ 42}{50 \mathrm{in} .}=\frac{?}{175 \mathrm{in} .} \] \[ \frac{47 \text { feet }}{60 \text { seconds }}=\frac{?}{45 \text { seconds }} \]