The number of coins of each type that the purse contain.

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 33E
To determine

To find: The number of coins of each type that the purse contain.

Expert Solution

The purse contains 9 pennies, 9 nickels and 9 dimes.

Explanation of Solution

Given:

Purse contains equal number of pennies, nickels and dimes.

Total value of coins is \$1.44.

Calculation:

Let x be the coins of pennies.

Tabulate the given information algebraically.

 In words In Algebra Coins of pennies 0.01x Coins of nickels 0.05x Coins of dimes 0.10x

Table (1)

Model the equation for the above information.

Coinsofpennies+Coinsofnickels+Coinsofdimes=Totalcoins|0.01x+0.05x+0.10x=1.44

On further simplification,

0.16x=1.44x=1.440.16x=9

Thus, the purse contains 9 pennies, 9 nickels and 9 dimes.

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