Answer:
8 dimes and 9 nickels
Step-by-step explanation:
In this exercise, we got a system of linear equations. We can solve this system by using several methods: substitution, reduction and equalization, and other advanced method call "Cramer's rule".
So, for this exercise we will use the substitution method.
1. Clear n for the first equation.
n + d = 17
n = 17 - d
2. Replace n in the second equation.
0.05n + 0.10d = 1.25
0.05(17 - d) + 0.10d = 1.25
0.85 - 0.05d + 0.10d = 1.25
0.85 + 0.05d = 1.25
3. We solve the obtained equation for d.
0.05d = 1.25 - 0.85
d = (1.25 - 0.85)/0.05
d = 0.40/0.05 = 8
dimes (d) = 8
4. we obtain the value of n using any of the two equations and with d = 8
Using the first equation
n + d = 17
n = 17 - d with d = 8
n = 17 - 8
n = 9
nickels (n) = 9
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