Sorreh I never really post question but I need help with this
Write a real world problem that you can model with the two step equation 5x+7=10. Then solve the problem.
I would really like it if Some one could explain this to me!!
thanks agian
~lost gurls finding home in neverland
5x+7=10.
Here is an example.
A yard worker charges 7 dollars travel fee to mow someone's yard. He charges five dollars for every hour he works. How long does he work if the total cost of his services is 10 dollars?
The amount of time he works is x.
The answer is .6 hours. So all together,
5x+7=10
5(the cost per hour)x(.6 hours)+7(travel fee)=10(total cost.)
5(.6)+7=10
3+7=10.
Does that make sense?
Sure, I can help you with that! Let's start by understanding what a two-step equation is. A two-step equation is an algebraic equation that requires two steps to solve - usually involving addition or subtraction in the first step and multiplication or division in the second step.
Now, let's create a real-world problem that can be modeled using the given two-step equation 5x + 7 = 10. Let's say we have a scenario where Sarah is buying cookies at a bakery. Each cookie costs $5 and she also needs to pay a $7 delivery fee. She wants to know how many cookies, represented by 'x', she can afford if she has a total of $10 to spend.
Now, to solve the problem, we'll use the two-step equation given.
Step 1: We start by subtracting 7 from both sides of the equation to isolate the variable term (5x):
5x + 7 - 7 = 10 - 7
5x = 3
Step 2: Next, we divide both sides of the equation by 5 to solve for 'x':
(5x)/5 = 3/5
x = 3/5
So, the solution to the problem is x = 3/5. This means that Sarah can afford 3/5 (or 0.6) of a cookie with her $10 budget.
I hope this explanation helps you understand how to create a real-world problem and solve it using a two-step equation! Let me know if you have any further questions.