In a cake shop, 3 durian puffs and 4 apple pies cost $19.60. Jill was given a special offer. For every 9 durian puffs bought, she was given 1 apple pie for free. In the end, she paid only $67.60 for 18 durian puffs and 6 apple pies. Find out the original price of 1 durian puff.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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In a cake shop, 3 durian puffs and 4 apple pies cost $19.60. Jill was given a special offer. For every 9 durian puffs bought, she was given 1 apple pie for free. In the end, she paid only $67.60 for 18 durian puffs and 6 apple pies. Find out the original price of 1 durian puff.

Expert Solution
Step 1

Assume that price of one durian puff is $ x and, price of one apple pies cost $ 19.60.

Given that, 3 puff and 4 pie cost $ 19.60, thus,

3x+4y=19.601

Now, she bought 18 puffs, thus she will get 189=2 pies free, and will pay only for 6-2=4 pies. Thus,

18x+4y=67.62

subtracting (1) from (2),

18x+4y-4y-3x=67.6-19.615x=48x=4815x=165x=3.2

 

 

 

 

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