At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Sue took her collection of nickels and dimes to deposit it in the bank. She has five fewer nickels than dimes. Her total deposit was $66.80 How many dimes
did she deposit?

Sagot :

.05N+.10D=66.80
D-N=5  --> D=5+N
Substitute
.05N+.10(5+N)=66.80
.05N+.50+.10N=66.80
.15N=66.30
Nickles=442
D-N=5
D-442=5
Dimes=447
Check
.05N+.10D=66.80
.05(442)+.10(447)=66.80
22.10+44.70=66.80
66.80=66.80
442 Nickles and 447 Dimes

Sue deposited 447 dimes and 442 nickels if Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Sue took her collection of nickels and dimes to deposit it in the bank. She has five fewer nickels than dimes.

Her total deposit was $66.80.

Let N and D are the nickels and dimes.

From the question:

D - 5 = N

0.10D + 0.05N = 66.80  (after converting nickels and dimes to dolllars)

Plug D = N + 5 in the second equation:

0.05N +0.10(5 + N) = 66.80

After solving:

0.05N + 0.50 + 0.10N = 66.80

N = 442

D = 447

Thus, Sue deposited 447 dimes and 442 nickels if Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.