Concept explainers
The population of a city is 2,500. If the number of males is 240 more than the number of females, how many males and females are there in the city?
To find: Number of males and females in the city.
Answer to Problem 21P
The number of male is 1370 and the number of female is 1130.
Explanation of Solution
Given information:
The population of a city is 2,500. The number of males is 240 more than the number of females.
Calculation:
The population of a city is 2,500. The number of males is 240 more than the number of females.
Let us assume the number of male is x and the number of female is y.
Hence we can write the above statement in equation form as follows:
In order to solve two systems by substitution, we solve one of the equations for one of the variables, and plug this into other equation.
As it is given that
Now we substitute
By plugging
Therefore the solution is
Therefore, the number of male is 1370 and the number of female is 1130.
Chapter 6 Solutions
High School Math 2012 Common-core Algebra 1 Practice And Problem Solvingworkbook Grade 8/9
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