Respuesta :
We need to create a word problem with a constant, a coefficient, a variable, and a final amount. Then, we need to solve it.
One example of a word problem is:
John received an initial payment of 10 dollars for a job and an extra 2 dollars for each hour he worked. If John received a total of 16 dollars, how many hours did he work?
Solving the problem:
Let's call x the number of hours Jhon worked. Then, the total extra he received was:
[tex]x\cdot2=2x[/tex]Since he also received an initial payment of 10 dollars, the total amount of dollars he received is given by the expression:
[tex]10+2x[/tex]Now, we know he received 16 dollars. So, we have:
[tex]10+2x=16[/tex]Notice that 10 is a constant, 2 is a coefficient, x is a variable, and 16 is the final amount.
Then, we need to apply operations on both sides of the equation until we isolate the variable x on the left side and find its value.
We obtain:
[tex]\begin{gathered} 10+2x-10=16-10 \\ \\ 2x=6 \\ \\ \frac{2}{2}x=\frac{6}{2} \\ \\ x=3 \end{gathered}[/tex]Answers
Word problem:
John received an initial payment of 10 dollars for a job and an extra 2 dollars for each hour he worked. If John received a total of 16 dollars, how many hours did he work?
Solution: 3 hours
