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8. Dylan has 35 coins in his pocket. All of them are either pennies or quarters, and
they total $4.43. How many of each coin does he have?


Sagot :

Answer:

He has 17 quarters and 18 pennies.

Because 17*0.25=4.25 and 18*0.01=0.18.

4.25+0.18=4.43 also 17+18=35

Step-by-step explanation:

brainliest

Answer:

  • 18 pennies and 17 quarters

Step-by-step explanation:

Let number of pennies is p and quarters is q.

  • Penny = $0.01, quarter = $0.25

Set equations

Total coins = 35

  • p + q = 35                              (1)

Total amount = $4.43

  • 0.01p + 0.25q = 4.43             (2)

Solve by elimination.

Multiply the second equation by 100 and subtract the first equation:

  • 100(0.01p) + 100(0.25q) - (p + q) = 100(4.43) - 35
  • p + 25q - p - q = 443 - 35
  • 24q = 408
  • q = 408/24
  • q = 17

Find the value of p:

  • p + 17 = 35
  • p = 35 - 17
  • p = 18