The currency called the U.S dollar can be split into smaller forms or currency value of itself. Examples of these smaller forms are: <u><em>dimes, nickels, pennies, and quarters.</em></u>
Tammy has 23 nickels and 12 quarters.
Let's represent the number of:
Nickels = n
Quarters = q
It is important to note that the value of:
<em>1 nickel = $0.05</em>
<em>1 quarter = $0.25</em>
<em />
Tammy has 35 coins nickels and quarters. This statement can be represented using an algebraic equation below:
n + q = 35
This can be rewritten as :
n = 35 - q
In all, she has $4.15. This statement can be represented using an algebraic equation below:
0.05n + 0.25q = 4.15
We substitute 35 - q for n in the above equation.
0.05(35 - q) + 0.25q = 4.15
1.75 - 0.05q + 0.25q = 4.15
Collect like terms
- 0.05q + 0.25q = 4.15 - 1.75
0.2q = 2.4
Divide both sides by 0.2
0.2q/0.2 = 2.4/0.2
q = 12
Therefore, the number of quarters Tammy has is 12.
Solving for the number of nickels, we have the equation:
n = 35 - q
n = 35 - 12
n = 23
Therefore, the number of nickels Tammy has is 23.
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