Jim has 28 nickels and 37 dimes in his pocket. which is determined by the substitution method.
<h3>What is the equation?</h3>
The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
Let the number of nickels would be n
Let the number of dimes would be d
As per the given question,
d + n = 65 ....(i)
0.10d + 0.05n = 5.10 ....(ii)
From equation (i),
d + n = 65
d + n - n = 65 - n
d = 65 - n
Substitute in for the equation(ii): d = 65 - n
0.10(65 - n) + 0.05n = 5.10
6.5 - 0.10n + 0.05n = 5.10
6.5 - 0.05n = 5.10
6.5 - 0.05n - 6.5 = 5.10 - 6.5
- 0.05n = -1.4
n = 28
This means there are 28 nickels
Substitute the value of n = 28 in the equation (i),
d + n = 65
d + 28 = 65
d = 37
So there are 37 dimes
Thus, Jim has 28 nickels and 37 dimes in his pocket.
Learn more about the equation here:
brainly.com/question/10413253
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