Question
Think About the Process You have 40 quarters. You find \( 20 \% \) more quarters in your room. Then you go shopping and spend \( 25 \% \) of the total number of quarters Write an expression to represent the total number of quarters you take with you shopping Calculate, in dollars, the amount of money you have left What expression represents your total number of quarters? A. \( 40 \div(40 \div 20) \) B. \( 40+(40 \div 025) \) C. \( 40+(40 \times 0.20) \) D. \( 40+(40 \times 20) \) You have \$ \( \square \) left View progress Submi
Ask by West Schmidt. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The expression representing the total number of quarters is \( 40 + (40 \times 0.20) \) (Option C). After spending 25% of the quarters, you have $9 left.
Solution
Step 1: You start with 40 quarters.
Step 2: You find 20% more quarters. This means you add 20% of 40:
20% of 40 = 40 × 0.20 = 8.
So, the total quarters now = 40 + 8 = 48.
The expression representing this is 40 + (40 × 0.20) which corresponds to answer C.
Step 3: You then spend 25% of your 48 quarters. The remaining quarters = 75% of 48:
0.75 × 48 = 36 quarters.
Step 4: Each quarter is worth $0.25, so the amount of money left in dollars is:
36 × 0.25 = $9.
Final Answers:
- The expression representing the total number of quarters is: 40 + (40 × 0.20) [Option C].
- You have $9 left after shopping.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
To find the total number of quarters after discovering \(20\%\) more, you start with \(40\) quarters. The expression to represent the total number of quarters you'll take shopping is \(40 + (40 \times 0.20)\), which is \(40 + 8 = 48\) quarters. So, the correct answer is **C**. Now, after shopping, if you spend \(25\%\) of \(48\) quarters, that would be \(12\) quarters. You then have \(48 - 12 = 36\) quarters left. In terms of dollars, since each quarter is worth \(0.25\), you have \(36 \times 0.25 = \$9.00\) left to enjoy!