Problema Solution
Rebecca has 15 coins consisting of nickels and dimes. the total value of the coins is $0.95. How many of each does she have?
Answer provided by our tutors
Let number of nickels = x
Let number of dimes = y
=> Total number of coins = x + y
=> x + y = 15 (1)
also
0.05x + 0.10y = 0.95(2)
Multiplying second equation by 100 we get
5x + 10y = 95(3)
Multiplying first equation by 5 we get
5x + 5y = 75 (4)
Subtracting (4) from (3) we get
5y = 20
=> y = 4
=> x = 15 - y = 15 - 4 = 11