Please help with math word problem?

Question

Aaron has a collection of American coins. He has three times as many 10 cent coins as 25 cent coins, and he has some 5 cent coins as well. If he has 88 coins with total value $11.40, how many of each type does he have?

Please show me how you did it. I got the first part:

10 cent : 3x

25 cent : x

5 cent: 88-4x

What do I do now?

Answer 1

You take into account the additional information you are given:

"total value $11.40"

Each dime is worth 10c, each quarter 25c, each nickel 5c

3x (10) + x (25) + (88-4x) 5 = 1140 (total cents)

30x + 25x -20x + 440 = 1140

35x = 700

x = 20

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