Clare had 400 apples and some oranges. She used 1/5 of her oranges to make fruit punch. In the end, the ratio of the apples and oranges is 5:8. Whats is the ratio of the number of apples and numbers of oranges at first?

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Clare had 400 apples and some oranges. She used 1/5 of her oranges to make fruit punch. In the end, the ratio of the apples and oranges is 5:8. Whats is the ratio of the number of apples and numbers of oranges at first?

Expert Solution
Step 1

Total no. of Apples Clare had = 400

 

Let's assume that she had total oranges = x

  

 

Since,

          She used 1/5 of the total oranges = 15×x

 Hence,

          She is left with = x-x5=4x5 oranges .

Step 2

Now, in the end,

               Ratio of the apples to the oranges = 58

Hence,

              No. of apples = 5y 

 and,      No. of oranges = 8y

Now,

           We know:        5y = 400 

                                     y = 80

Hence,

              No. of Left out oranges:

                                       4x5=8yPut y= 80 4x5=640    x = 640×54=800    x = 800 

               

               

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