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Elden [556K]
4 years ago
12

1. Six more than four times a number is eighteen. What is the number?

Mathematics
1 answer:
saw5 [17]4 years ago
4 0

Answer:

3

Step-by-step explanation:

1. Write out the equation

  • 6 + 4x = 18

2. Subtract 6 from each side

  • 4x = 12

3. Divide by 4 on each side

  • x = 3
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Define your variables:
Q: number of quarters
D: number of dimes

Next, create your equations
Q = 2D-4
25Q+10D=200

Because one variable (Q) is already written in terms of the other variable, D, you can already start solving with substitution.
25(2D-4)+10D=200
50D-100+10D=200
60D=300
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Substitute D back into the other equation to find Q. 
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Substitute D and Q into the second equation to check.
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This works, so the answer is right! Bill has 6 quarters and 5 dimes.
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