Answered: Jim has 44 nickels & dimes totaling…

Math

Algebra

Jim has 44 nickels & dimes totaling $2.95. How many nickels does he have?

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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Question

Jim has 44 nickels & dimes totaling $2.95. How many nickels does he have?

Expert Solution

Step 1

Let's assume that Jim has x nickels and y dimes.

We know that he has a total of 44 coins, so:

x + y = 44

We also know that the total value of the coins is $2.95,

1 nickel = 0.05 dollar

1 dime = 0.10 dollar

which can be expressed in cents as:

5x + 10y = 295

x + 2y = 59

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