Answer:
Tiffany has 13 dimes and 4 nickels.
Step-by-step explanation:
To solve this problem, you will need to write a systems of equations, n will be the number of nickels and d will be the number of dimes.
n+d=17 This means that the number of nickels plus the number of dimes is equal to 17.
5n+10d=150, This means that for each nickel, there is 5 cents and for each dime, there is 10 cents. The equation is equal to 150 cent because the coins are worth 150 cents.
Next, solve the system:
n+d=17
5n+10d=150 First simplify the second equation by dividing it all by 5.
n+d=17
n+2d=30, Next, isolate n to use substitution on the system.
n=17-d
n=30-2d, Substitute n to solve for d
17-d=30-2d, Solve for d
d=13, this means that there are 13 dimes, plug in the d value in either of the equations to find n.
n+(13)=17
n=4, There are 4 nickles
