Macdonald Donnelly
04/10/2023 · Senior High School
3a. Pinamelal Literacy 5 imone saved \( \$ 65.35 \) more than her brother Dan and \( \$ 3750 \) less than her sister Carly. Carly saved \( \$ 127 \). 75 , site and solve equations to find how much money Simone and Dan saved. sit?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Let's define the amounts saved by each person:
- Let \( S \) be the amount Simone saved.
- Let \( D \) be the amount Dan saved.
- Let \( C \) be the amount Carly saved.
From the problem, we know the following:
1. Carly saved \( C = 127.75 \).
2. Simone saved \( S = D + 65.35 \) (Simone saved $65.35 more than Dan).
3. Simone saved \( S = C - 3750 \) (Simone saved $3750 less than Carly).
Now, we can substitute the value of \( C \) into the equations.
### Step 1: Substitute Carly's savings into Simone's equation
From the third equation:
\[
S = C - 3750
\]
Substituting \( C = 127.75 \):
\[
S = 127.75 - 3750
\]
\[
S = 127.75 - 3750 = -3622.25
\]
### Step 2: Substitute Simone's savings into Dan's equation
Now we can use the first equation:
\[
S = D + 65.35
\]
Substituting \( S = -3622.25 \):
\[
-3622.25 = D + 65.35
\]
### Step 3: Solve for Dan's savings
Now, we can solve for \( D \):
\[
D = -3622.25 - 65.35
\]
\[
D = -3687.60
\]
### Summary of Results
- Simone saved \( S = -3622.25 \) (which is not a valid amount, indicating an error in the problem setup).
- Dan saved \( D = -3687.60 \) (also not valid).
### Conclusion
It seems there is a misunderstanding or error in the problem statement, as the amounts saved cannot be negative. Please check the values provided, especially the amount Carly saved, as \( 3750 \) seems to be too large compared to \( 127.75 \).
Quick Answer
Simone saved an amount that is not valid (-3622.25), and Dan saved an amount that is also not valid (-3687.60). There seems to be an error in the problem statement.
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