Which system of equations best represents the situation?
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Answer:
The correct answer is (a).
Step-by-step explanation:
Nickels are 5-cents coins
Quarters are 25-cents coins
1 dollar = 100 cents
N represents the number of nickels and;
Q represents the number of quarters.
The system of simultaneous equations is:
N + Q = 35 ... (i)
[tex]\frac{5}{100}[/tex]N + [tex]\frac{25}{100}[/tex]Q = $5.15 ... (ii)
Simplifying further by multiplying (ii) with 100 throughout gives:
N + Q = 35 ... (i)
5N + 25Q = $515 ... (ii)
You can rearrange it to:
N = 35 - Q ... (i)
5N + 25Q = $515 ... (ii)
So (a) is the correct answer.