Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

James bought a movie ticket for $4.05. He paid the movie ticket with quarters and dimes. If James used 18 coins in all, how many quarters and dimes did he use

Sagot :

jacob193

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 this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.