Help pls I’m stuck on this question

We have 15 Nickels and 10 Dimes.

Step-by-step explanation:

This is a system of equations! [Literally in a class reviewing that rn}

Lets make a chart:

    Number of Coins  x  Value of Coin = Total Value

Dimes  |   d               |   10                          | 10d

Nickels |   n               |  5                           | 5n

So, When you have a System of Equations with Money, One equations is about the value of the money, and the other about the number of coins.

The First Equation [Number of Coins]:

D + N = 25

the Second Equation [Value of Money]:

10D + 5N = 175

I will use Elimination to solve this, however, graphing and substitution works too.

ELIMINATION:

Multiply First equation by -5

-5[D + N = 25] = -5D - 5N = -125

Add the Two Equations vertically.

-5D - 5N = -125

10D + 5n = 175

5D = 50

Divide both sides by 5.

5D/5 = 50/5

D = 10

Substitute D= 10 In any equation and solve for the other variable.

10 + N = 25

Subtract 10 from both sides.

10 - 10 + N = 25 - 10

N = 15

So, we have 15 Nickels and 10 Dimes.

Hope I Helped, have a Great Day!

        -Aadi x