Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Discover comprehensive solutions to your questions from a wide network of experts on our user-friendly platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.
Sagot :
Answer:
[tex]15[/tex] quarters and [tex]3[/tex] dimes.
Step-by-step explanation:
In this question, it is given that a total of [tex]18[/tex] quarters ([tex]0.25[/tex] dollars each) and dimes ([tex]0.10[/tex] dollars each) add up to a value of [tex]4.05[/tex] dollars. The goal is to find the number of each type of coins.
Let [tex]x[/tex] denote the number of quarters. There would be [tex](18 - x)[/tex] dimes since there were a total of [tex]18[/tex] coins. The total value of the coins is [tex]4.05[/tex], meaning that:
[tex](0.25)\, x + (0.1)\, (18 - x) = 4.05[/tex].
Rearrange this equation and solve for [tex]x[/tex]:
[tex]0.15\, x = 2.25[/tex].
[tex]x = 15[/tex].
In other words, there would be [tex]15[/tex] quarters and [tex](18 - 15) = 3[/tex] dimes.
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.