galacticbossina
galacticbossina galacticbossina
  • 23-06-2018
  • Mathematics
contestada

A collection of dimes and nickels is worth $9.50. There are 132 coins in all. How many of each coin are there?

Respuesta :

mkryukova19 mkryukova19
  • 23-06-2018
number of dimes  - x
number of nickels - y

x+y = 132      /*-10 -----> -10x-10y = -1320
10x + 5y = 950

-10x-10y = -1320
 10x + 5y = 950
         -5y = - 370
            y = 74     number of nickels

x+y = 132
x + 74 = 132
x= 132-74
x = 58     number of dimes

Check:
10*58 + 5*74 = 950
950 = 950 True
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