reachAbhinav27
reachAbhinav27 reachAbhinav27
  • 03-07-2020
  • Mathematics
contestada

I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coins in cents in terms of k.

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pedrocarratore
pedrocarratore pedrocarratore
  • 07-07-2020

Answer:

40k + 35 cents

Step-by-step explanation:

Each quarter is worth 25 cents, each nickels is worth 5 cents and each dime is worth 10 cents.

Value of all quarters:

[tex]25k[/tex]

Value of all nickels:

[tex]5*(k+5)\\5k+25[/tex]

Value of all dimes:

[tex]10*(2k+1)\\20k + 10[/tex]

The value of all coins in terms of k is:

[tex]V=25k+5k+25+20k+10\\V= 40k +35\ cents[/tex]

All coins are worth 40k + 35 cents.

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