Question
After spending \( \$ 36.20 \) on a nursing lab manual and \( \$ 2.48 \) each on 5 mechanical pencils, Ann still had \( \$ 49.27 \). How much money did Ann have initially?
Ask by Collins Hilton. in Canada
Mar 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Ann initially had \$97.87.
Solution
1. Let \( x \) be the amount of money Ann had initially.
2. Ann spent \( \$36.20 \) on a nursing lab manual.
3. She also bought 5 mechanical pencils at \( \$2.48 \) each, so she spent a total of
\[
5 \times 2.48 = 12.40 \text{ dollars}.
\]
4. The total amount spent is
\[
36.20 + 12.40 = 48.60 \text{ dollars}.
\]
5. After spending, Ann had \( \$49.27 \) left, so we set up the equation
\[
x - 48.60 = 49.27.
\]
6. Solving for \( x \), we add 48.60 to both sides:
\[
x = 49.27 + 48.60 = 97.87.
\]
Thus, Ann had initially \( \$97.87 \).
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Simplify this solution Bonus Knowledge
To find out how much money Ann had initially, we can add together the amount spent and the amount she has left. First, Ann spent \( \$ 36.20 \) on the nursing lab manual and \( \$ 2.48 \) for each of the 5 mechanical pencils: \[ \text{Total cost of pencils} = 5 \times 2.48 = 12.40 \] Now, we can calculate her total spending: \[ \text{Total spent} = 36.20 + 12.40 = 48.60 \] Finally, we add the amount she has left to find her initial amount: \[ \text{Initial amount} = \text{Total spent} + \text{Remaining amount} = 48.60 + 49.27 = 97.87 \] So, Ann initially had \( \$ 97.87 \).
