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tiffany has seventeen coins, all dimes and nickels. in total, the coins are worth 150 cents. how many nickels does she have?

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

-1/2 +2

step-by-step explanation: