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Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10 d plus 0.05 n equals 5.25, where d represents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?

35
42
63
105

2 Answers

5 votes

Answer:

simple answer is C

Explanation:

doing the exam now<3.

User Justyy
by
7.6k points
3 votes

Answer:

Sonji has 63 nickels.

Explanation:

Here we just have to take the given expression, and replace the amount of dime Sonji has.

So, we know that the situation is modeled by:


0.10d+.0.05n=5.25

Where
d and
n are dimes and nickels respectively. The model make totally sense, because each dime values 10 cents or $0.10, and each nickel values 5 cents or $0.05.

So, if Sonji has 21 dimes, we replace this in the model and solve for
n:


0.10d+.0.05n=5.25\\0.10(21)+0.05n=5.25\\2.1+0.05n=5.25\\0.05n=5.25-2.1\\n=(3.15)/(0.05)\\ n=63 \ nickels

Therefore, according with this result, Sonji has 63 nickels.

User Vlad Balmos
by
8.0k points
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