Answer:Tera has 6 dimes and 12 nickels
Explanation:
We can determine how many of each type of coin Tera has using a system of equations, where:
N represents the number of nickels,
and D represents the number of dimes.
First equation:
We know that the worth of the nickels and dimes equals the total worth:
(nickel value * quantity) + (dime value * quantity) = total worth
Since Tera has $1.20 worth of change, a nickel is worth $0.05, and a dime is worth $0.10, our first equation is given by:
0.05N + 0.10D = 1.20
Second equation:
Since Tera has 2 times as many nickels as dimes, our second equation is given by:
N = 2D
Method to solve: Substitution:
Solving for D (the number of dimes):
We can solve for D by substituting 2D for N in the first equation:
0.05(2D) + 0.10D = 1.20
0.10D + 0.10D = 1.20
(0.20D = 1.20) / 0.20
D = 6
Thus, Tera has 6 dimes.
Solving for N (the number of nickels):
Now we can solve for N by plugging in 6 for D in the second equation:
N = 2(6)
N = 12
Thus, Tera has 12 nickels.
Explanation: