Problem 25 Which situation describes quanti... [FREE SOLUTION]

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Mathematical Reasoning Workbook for the GED Test

McGraw-Hill Education

$Math Studyset 91影视 Explanations$ Math

4 Edition

Chapter 1: Problem 25

Which situation describes quantities combining to make 0 ? A. An account overdrawn by $\$ 1367$ receives a payroll deposit of $\$ 756$ and a tax refund deposit of $\$ 621$. B. 5 people chip in $\$ 17$ each to help settle a friend's $\$ 85$ electricity bill. C. A person contributes $\$ 15$ to pay for his share of a $\$ 60$ dinner bill; his 4 companions all generously do the same. D. Oil leaks out of a full 75,000 -gallon tank at the rate of 1500 gallons each day for 7 weeks before someone notices.

Short Answer

Expert verified

Option B

Step by step solution

Identify Key Quantities in Option A

An account is overdrawn by \$ -1,367\. A payroll deposit of \$ 756\ and a tax refund deposit of \$ 621\ are received. Calculate the total sum: \[-1,367 + 756 + 621 = 10 \]

Analyze Option B

The total money chipped in by 5 people is $5 \times 17 = 85$. This is exactly equal to the electricity bill of \$ 85\. So, the total sum: \[ 5 \times 17 - 85 = 0 \]

Review Option C

A person and 4 companions each contribute \$ 15\ for a \$ 60\ dinner bill. The total contributions equal $15 \times 5 = 75$. This is more than the bill: \[ 15 \times 5 - 60 = 15 \]

Examine Option D

An oil tank loses $75,000 \text{ gallons} - (1500 \text{ gallons/day} \times 7 \text{ days/week} \times 7 \text{ weeks}) = 75,000 - 73,500 = 1,500 \text{ gallons} $ which is not zero.

Conclusion

After reviewing all the options, only Option B results in a total sum of zero since the contributions exactly match the bill.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Addition and Subtraction in Real-World Context

Understanding the application of basic arithmetic operations like addition and subtraction is crucial, especially in real-world situations.

Let's look at how addition and subtraction are applied in this exercise:

Option A: Adding deposits to an overdrawn account involves both addition and subtraction. Subtract the debt and add the deposits to find the balance.
Option B: Adding contributions to settle a debt is straightforward. Subtract the total contributed by the bill amount.
Option C: Similar to Option B, adding contributions but resulting in an excess that鈥檚 subtracted from the bill.
Option D: Subtracting the product of loss rate and time from the initial quantity.

These real-world applications help illustrate how arithmetic operations are used in everyday life, making the concepts more relatable and easier to grasp.

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91影视

Short Answer

Step by step solution

Identify Key Quantities in Option A

Analyze Option B

Review Option C

Examine Option D

Conclusion

Key Concepts

Addition and Subtraction in Real-World Context

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