The loonie store sells candies for 30 cents each and gum for 60 cents each. If a customer bought 20 items altogether which cost $9.00 in total, how many of each item was bought? show in an algebraic solution.

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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The loonie store sells candies for 30 cents each and gum for 60 cents each. If a customer bought 20 items altogether which cost $9.00 in total, how many of each item was bought? show in an algebraic solution.

Expert Solution
Step 1

Let the customer bought x candies and y gums

A.T.Q

x+y=20 ____________ (1)

30x+60y=900 ___________ (2)

 

Step 2

Multiply equation (1) by 30

30x+30y=600 ____________ (3)

On subtracting equation (3) from (2), we get

30y=300y=10

On substituting the value of y in equation (1), we get

x=10

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