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27 votes
27 votes
The total amount of money (in cents) in x dimes, (x+5) nickels, and 3x quarters

User Aerophilic
by
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1 Answer

14 votes
14 votes

Answer: 90x + 25

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Work Shown:

1 dime = 10 cents

x dimes = 10x cents

1 nickel = 5 cents

(x+5) nickels = 5(x+5) = 5x+25 cents

1 quarter = 25 cents

3x quarters = 25*3x = 75x cents

total = dimes + nickels + quarters

total = (10x) + (5x+25) + (75x)

total = (10x+5x+75x) + 25

total = 90x + 25 cents

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An example:

Let's say x = 12

  • x dimes = 12 dimes = 12*10 = 120 cents
  • x+5 nickels = 12+5 = 17 nickels = 17*5 = 85 cents
  • 3x quarters = 3*12 = 36 quarters = 36*25 = 900 cents

total = 120+85+900 = 1105 cents = $11.05

also,

total = 90x+25 = 90*12+25 = 1105 cents = $11.05

Divide by 100 to go from cents to dollars.

User Wiseass
by
3.0k points