Sandy has 19 dimes and 27 nickels
Solving system of linear equations
From the question, we are to determine how many of each coin Sandy has
Let n represent nickels
and d represent dimes
From the given information,
Sandy finds $3.25 in nickels and dimes in her piggy bank
Then, we can write that
0.05n + 0.1d = 3.25 --------- (1)
NOTE: 1 nickel = $0.05
1 dime = $0.1
Also,
She has 8 more nickels than dimes
That is,
n = 8 + d ---------- (2)
Substitute equation (2) into equation (1)
0.05n + 0.1d = 3.25
0.05(8 + d) + 0.1d = 3.25
0.4 + 0.05d + 0.1d = 3.25
0.05d + 0.1d = 3.25 - 0.4
0.15d = 2.85
d = 19
Substitute the value of d into equation (2)
n = 8 + 19
n = 27
Hence, Sandy has 19 dimes and 27 nickels
Learn more on Systems of linear equations here: https://brainly.com/question/13729904
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