Reese has nickels and dimes in his pocket. He counts a total of 11 coins. The total value of his pocket change is 70 cents. Let 'n' represent the number of nickels and let d represent the number of dimes in Reese’s pocket.
Which equations can be used to represent the information in this problem? Check all that apply.

A) 5n + 10d = 11
B) n + d = 11
C) n + d = 70
D) 5n + 10d = 70
E) 10n + 5d = 70
REMEMBER, THIS IS MULTIPLE CHOICE :)

Respuesta :

The combine equation that represents the information in this problem is as follows;

n + d = 11

5n + 10d = 70

He has only nickel and dimes in his pocket. The total number of coins is 11 coins. The total cost is 70 cents.

let

n = number of nickels in his pocket

d = number of dimes in his pocket

1 nickel = 5 cents

1 dime = 10 cents

Therefore,

Total number of coins:

  • n + d = 11

Total cost of the coins

  • 5n + 10d = 70

Therefore, the combine equation is as follows:

n + d = 11

5n + 10d = 70

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