Answer:
We have 15 Nickels and 10 Dimes.
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
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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.
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Hope I Helped, have a Great Day!
-Aadi x