
Concept explainers
How many rows of seats are there in business class.

Answer to Problem 30IP
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Explanation of Solution
Given:
An airplane has two sections, business class and economy class, In each section there are 6 seats in a row. There are 24 rows in economy class , and there are 174 seats on the plane.
Concept Used:
Distributive property:
Left Distributive property:
Right Distributive property:
- To get rid of a number in addition from one side, subtract the same number from both sides of equal sign.
- To get rid of a number in subtraction from one side, add the same number both sides of equal sign.
- To get rid of a number in multiplication from one side, divide the same number from both sides of equal sign.
- To get rid of a number in division from one side, multiply the same number both sides of equal sign.
Rules of Addition/ Subtraction:
- Two numbers with similar sign always get added and the resulting number will carry the similar sign.
- Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.
Rules of Multiplication/ Division:
- The product/quotient of two similar sign numbers is always positive.
- The product/quotient of two numbers with opposite signs is always negative.
Calculation:
In order to find how many rows of setas are there in business class, let b be the number of rows in business class, first adding both the number of rows of economy class that is 24 rows and the business row and the multiplying it by 6 number of seats in one row, is equal to 174 total number of seats in plane, so the equation is as shown below:
Now, to solving the equation first using distributive property on left side of the equation and then isolate the variable term b on one side by performing some basic algebraic operations to get rid of the other numbers and terms associated with it.
Here to isolate b on left side, first subtract 144 from both sides and then divide both sides by 6 and then simplify further as shown below,
So, there are 5 rows in business class.
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