Question

1. penelope likes to drink flavored water by adding flavor enhancer. she likesto mix 0.5 teaspoon of flavor enhancer for every 8 fluid ounces of water.below are several flavored water mixtures made by penelopes friends.

a. circle all of penelopes friends who like the same ratio of water to flavorenhancer as penelope.

b. choose one of the answers you circled. explain how you know the water has thesame flavor intensity.

1. alan is making banana bread. the ratio of cups of mashed bananas to cups of flour forhis recipe is 6:3.

a. alan uses 3 cups of mashed bananas to make 1 loaf. how many cups of flour willhe use? explain your answer using numbers, words, and/or pictures.

b. erik uses alans recipe to make banana bread. erik uses 9 cups of flour in total.how many loaves does erik make? explain your answer using numbers, words,and/or pictures.

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Explanation:

Step1: Find the simplified ratio of Alan's recipe

The ratio of mashed bananas to flour is \(6:3\). Divide both numbers by \(3\), we get \(2:1\). This means for every \(2\) cups of mashed bananas, \(1\) cup of flour is used.

Step2: Solve part a

Alan uses \(3\) cups of mashed bananas. Let the amount of flour be \(x\). Using the ratio \(2:1 = 3:x\). Cross - multiply: \(2x=3\times1\), so \(x = 1.5\) cups of flour.

Step3: Solve part b

From the ratio \(2:1\) (bananas to flour per loaf), per loaf \(1\) cup of flour is used. Erik uses \(9\) cups of flour. Let the number of loaves be \(n\). Using the formula \(n=\frac{\text{Total flour}}{\text{Flour per loaf}}\). Since flour per loaf is \(1\) cup (from the simplified ratio), \(n = 9\) loaves.

Answer:

a. \(1.5\) cups of flour.
b. \(9\) loaves.