Chapter 3: Q. 164 (page 351)

Connor has a collection of dimes and quarters with a total value of $ $6.30$ . The number of dimes is 14 more than the number of quarters. How many of each coin does he have?

Short Answer

Expert verified

Quarters are $14$ and dimes are $28 .$

Step by step solution

Step 1. Given Information

Total amount of money $= $ 6.30$

Let he number of quarters be $x$

Therefore ,

According to the question,

number of dimes will be $14 + x$

Step 2. Solution of the equation

Now, According to the question,

$0.25 x + 0.10 (x + 14) = 6.30 0.25 x + 0.10 x + 1.4 = 6.30 0.35 x + 1.4 - 1.4 = 6.30 - 1.4 0.35 x = 4.9 \frac{0.35 x}{0.35} = \frac{4.9}{0.35} x = 14 14 + x = 14 + 14 = 28$

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!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Connor has a collection of dimes and quarters with a total value of $ $6.30$ . The number of dimes is 14 more than the number of quarters. How many of each coin does he have?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution of the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Logic and Functions

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Connor has a collection of dimes and quarters with a total value of $6.30. The number of dimes is 14 more than the number of quarters. How many of each coin does he have?

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Solution of the equation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Geometry

Logic and Functions

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Connor has a collection of dimes and quarters with a total value of $ $6.30$ . The number of dimes is 14 more than the number of quarters. How many of each coin does he have?