(3) 26. A punch mixture can be made by mixing lemon-lime soda and cranberry juic

Question

(3) 26. A punch mixture can be made by mixing lemon-lime soda and cranberry juice in a ratio of 4: 3. For every 4 cups of lemon-lime soda, use 3 cups of cranberry juice. Solve each problem using a proportion. Choose one problem to draw a ratio table or tape diagram to illustrate how you solved the problem. A. How much lemon-lime soda should be used to make a mixture with 48 cups of cranberry juice? 9 2 31102 Soda B. How many cups of lemon-lime soda and how many cups of cranberry juice should be used to make 105 cups of punch? -3S 311ps 3165 3s cups of cranberry juic 10 cups of lamon linvjuic

Explanation / Answer

So, proportion of lemon and cranberry juice is 4:3

a. To make punch with 48 cups of cranberry jiuce we have to equate the 3 parts of cranberry juice

to 48. So, Lets the proportion be 4x:3x, 3x = 48

x=16, therefore 4x = 64

b. If i need to make 105 cups of punch then 4x+3x = 7x = 105

So, x= 15 and therefore cupos of lemon-lime soda required is 4x = 4*15 = 60 of lime-lemon soda

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