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Liliana has $3.60 in nickels and quarters in her backpack. She has 18 more nickels than quarters. How many coins of each type does she have?

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Answer: Liliana has 9 quarters and 27 nickels.

Explanation:

Let's call the number of quarters Liliana has "q" and the number of nickels she has "n".

From the problem, we know that:

n = q + 18 (because she has 18 more nickels than quarters)

We also know that the total value of the coins is $3.60. We can use the following equation to find the total number of coins:

(0.25 * q) + (0.05 * n) = 3.60

Now we can substitute the first equation into the second equation to get:

(0.25 * q) + (0.05 * (q + 18)) = 3.60

Simplifying this equation:

0.25q + 0.05q + 0.90 = 3.60

0.30q = 2.70

q = 9

So Liliana has 9 quarters. We can use the first equation (n = q + 18) to find the number of nickels she has:

n = 9 + 18

n = 27

Which means, Liliana has 9 quarters and 27 nickels.

User Ali Habibzadeh
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