Set up and solve a system of equations to answer the following. A person has five times as many pennies as dimes. If the total value of these coins is $1.50, how many of each type of coin does this person have? pennies dimes

Set up and solve a system of equations to answer the following. A person has five times as many pennies as dimes. If the total value of these coins is $1.50, how many of each type of coin does this person have? pennies dimes

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.4: Solve Applications With Systems Of Equations

Problem 5.74TI: Translate to a system of equations and then solve: Jake’s dad is 6 more than 3 times Jake’s age. The...

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Question

Set up and solve a system of equations to answer the following.
A person has five times as many pennies as dimes. If the total value of these coins is $1.50, how many of each type of coin does this person have?
pennies
dimes

Expert Solution

Step 1

Step 1:

Let the number of pennies be denoted by letter p. Let the number of dimes be denoted by letter d.

According to the first condition,

There are five times as many pennies as dimes. Hence,

Calculus homework question answer, step 1, image 1

Step 2

As 1 penny=0.01 dollar, dollar value of number of pennies will be 0.01p.

As 1 dime=0.1 dollar, dollar value of number of dimes will be 0.1d.

As the total dollar value is $1.5, we write,

Calculus homework question answer, step 2, image 1

Step by step

Solved in 3 steps with 2 images

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