Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 3: Q. 3.51 (page 340)

Michaela has $2.05in dimes and nickels in her change purse. She has seven more dimes than nickels. How many coins of each type does she have?

Short Answer

Expert verified

Michaela has 9nickels and 16dimes in her purse.

Step by step solution

01

Step 1. Given information.

Consider the given question,

Michaela has seven more dimes than nickels.

We know, the value of a dime is $0.1and value of nickel is $0.05. The total value of all the coins is $2.05.

Assume nand dto be the number of nickels and dimes.

localid="1647107421767" d=n+7

Make the table,

02

Step 2. Form the equation.

Consider the table, we can see,

0.1n+7+0.05n=2.050.1n+0.7+0.05n=2.050.15n=1.35n=9

Then,

d=9+7d=16

Therefore, the number of nickels is 9and the number of dimes is 16.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Lee has $1.75 in dimes and nickels. The number of nickels is 11 more than the number of dimes. How many of each coin does he have?

Jim loaned his sister \(5,000to help her buy a house. In 3years, she paid him the \)5,000, plus $900interest. What was the rate of interest?

Joe’s wallet contains \(1and \)5bills worth \(47. The number of \)1bills is five more than the number of $5 bills. How many of each bill does he have?

790 is what percent of395?

In the following exercises, solve using the problem solving strategy for word problems. Remember to write a complete sentence to answer each question.

One-fourth of the candies in a bag of M&M’s are red. If there are 23red candies, how many candies are in the bag?
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free