Dexter wrote the equation below to find the number of hours he would need to work at $10 an hour to save $300. 10x + 160 =300 According to this equation, how much money did Dexter already have saved before he started working?
Mathematics · Middle School · Wed Jan 13 2021
Answered on
Given the statement:
Dexter wrote the equation below to find the number of hours he would need to work at $10 an hour to save $300.
10x + 160 =300
Determine how much money did Dexter already have saved before working.
Solution:
In order to determine how much money Dexter already have saved before working, we simply need to solve for x in the given equation to find the number of working hours he needed and then subtract it later on.
10x + 160 =300
Transpose 160 on the other side of the equation, hence we must take note that in transposing a number, the sign changes.
10x + 160 =300
10x = 300 -160
10x = 140
Divide both sides by 10 in order to get the value of x.
x = 14
Since it is stated that Dexter earns $10 an hour and he's gonna work for 14 hours, this means that he needs $140. Thus, his current savings is $160.
Final answer:
Dexter saved $160 before working.