I have twice as many nickels as quarters. If I have $1.75 in total, how many of each do I have?
Such math
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Very skill
n = 2 q
5 n + 25 q = 175
so
5 (2 q) + 25 q = 175
35 q = 175
q = 5
so n = 10
I have no clue I just did this bc I can 😎
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To solve this problem, we need to set up a system of equations based on the given information.
Let's assume the number of quarters is "q" and the number of nickels is "n". According to the information provided, we know two things:
1. The number of nickels is twice the number of quarters: n = 2q.
2. The value of the coins combined is $1.75: 0.05n + 0.25q = 1.75.
Now, we can solve this system of equations to find the values of "n" and "q".
Substituting equation 1 into equation 2, we get:
0.05(2q) + 0.25q = 1.75
0.10q + 0.25q = 1.75
0.35q = 1.75
q = 1.75 / 0.35
q = 5
Therefore, you have 5 quarters.
Using equation 1, we can find the number of nickels:
n = 2q
n = 2(5)
n = 10
Therefore, you have 10 nickels.
In summary, you have 5 quarters and 10 nickels.