Hello everyone. I have a math problem I am somewhat stuck on and need help a little please.
Write a problem that can be solved using the equation: 9x + 14 = 100
A. 9 dogs and 14 cats cost $100.00
B. Ty wants to buy 14 dogs, but they cost $100, how much more does he need?
C. Ty has saved $14 and he earns $9 each week. How many weeks will it take till he has $100?
I am not sure on this one.
Hello Ms. Sue. May I ask why is it C? What is the best way to do these type of problems?
Let's look at that equation.
9x + 14 = 100
9 times something plus 14 is 100
A is 9 times something plus 14 times something -- nope that isn't it.
B is 14 times something but it doesn't give enough information.
C describes the equation correctly.
To determine which problem can be solved using the equation 9x + 14 = 100, let's analyze each option:
A. 9 dogs and 14 cats cost $100.00:
This problem does not involve finding x or solving an equation, so it cannot be solved using the given equation.
B. Ty wants to buy 14 dogs, but they cost $100, how much more does he need?
In this problem, we are trying to find the remaining amount Ty needs to buy 14 dogs. Since the equation involves a constant value of 14 on the left side, it does not match the given equation format of 9x + 14 = 100. Therefore, option B is not the correct choice.
C. Ty has saved $14 and he earns $9 each week. How many weeks will it take till he has $100?
This problem matches the given equation format of 9x + 14 = 100, where x represents the number of weeks Ty needs to save. By substituting the values into the equation, we get: 9x + 14 = 100.
Now, to solve for x, we can start by subtracting 14 from both sides of the equation: 9x = 100 - 14 = 86.
Finally, divide both sides of the equation by 9: x = 86/9.
Therefore, the problem that can be solved using the equation 9x + 14 = 100 is option C: Ty has saved $14 and he earns $9 each week. We can calculate the number of weeks it will take until he has $100 by finding x, which equals 86/9.