rahyemw04
Answered

Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Question 14 options:
A jar contains 50 coins, all of which are dimes and quarters.

The total value of the coins in the jar is $10.10.

How many dimes / quarters are in the jar?

Sagot :

mrmanieack

Answer:

16 dimes

34 quarters

34/5+16/10=10.10

The currency called the dollar can be, split into smaller currencies called dimes, quarters, nickels, and pennies.

We have 34 quarters and 16 dimes in the jar.

Let's represent

Number of dimes = d

Number of quarters = q

Note that:

1 dime = $0.10

1 quarter = $0.25

Our system of equations is given as:

d + q = 50.........Equation 1

d = 50 - q

0.1d + 0.25q = 10.10............Equation 2

We substitute 50 - q for d in Equation 2

0.1(50 - q) + 0.25q = 10.10

5 - 0.1q + 0.25q =  10.10

Collect like terms

- 0.1q + 0.25q =  10.10 - 5

0.15q = 5.1

Divide both sides by 0.15

0.15q/0.15 = 5.1/0.15

q = 34

We have 34 quarters

Solving for the number of dimes. remember:

d = 50 - q

d = 50 - 34

d = 16

We have 16 dimes

Therefore, we have 34 quarters and 16 dimes in the jar.

To learn more, visit the link below:

brainly.com/question/14558341

Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.