Question 1204628


Alyssa emptied out her change jar to buy a new binder for school. She found 147
coins consisting of dimes and nickels that totaled $11.65. Write a system of
equations to determine how many dimes, d, and how many nickels, n, Alyssa had in
her change jar? Then solve the system of equations.

She found 147coins consisting of dimes and nickels
Let the number of dimes be x 
and number of nickels be y
x+y=147------------------1

 that totaled $11.65.

10x+5y= 1165 (cents)------------2

Multiply (1) by 10 and subtract from (2)
10x+5y= 1165
10x+10y=1470   
-5y=-305
y= 61  number of nickels

x =147-61= 86  number of dimes

CHECK

61*5+86*10 =1165 cents =$11.65






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