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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.

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