Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
15 nickels and 28 quarters.
Explanation:
Let the number of nickels = n
Let the number of quarters = q
Sarah has 43 coins:
[tex]\begin{gathered} n+q=43 \\ \implies n=43-q \end{gathered}[/tex]1 nickel = 5 cents = $0.05
1 quarter = 25 cents =$0.25
She runs her change through the bank coin machine and gets back $7.75
[tex]0.05n+0.25q=7.75[/tex]We then solve the two equations simultaneously:
[tex]\begin{gathered} 0.05n+0.25q=7.75 \\ 0.05(43-q)+0.25q=7.75 \\ 2.15-0.05q+0.25q=7.75 \\ 0.2q=7.75-2.15 \\ 0.2q=5.6 \\ q=28 \end{gathered}[/tex]Finally, solve for the number of nickels:
[tex]\begin{gathered} n=43-q \\ =43-28 \\ n=15 \end{gathered}[/tex]Sarah started with 15 nickels and 28 quarters.
Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
