Doug is playing Super Mario Brothers. He finished 1/4 of the levels last week and 1/2 of the remaining levels the week. He had 15 more levels to complete. How many levels does Super Mario Brothers have?
Or, ya know, use a calculator, its easy, and quick. ._.
While a calculator can indeed make the calculation quicker, it's always good to understand the process of solving a math problem in case a calculator is not available or the problem involves more complex calculations. Additionally, understanding the process helps in building problem-solving skills and enhancing mathematical understanding.
mine gives me the explanation, and answer.
x = number of levels
He finished x / 4 of the levels.
Remaining levels = x - x / 4 = 3 x / 4
He finished 1 / 2 of the remaining levels.
He finished ( 1 / 2 ) ∙ 3 x / 4 = 3 x / 8
He totaly finished x / 4 + 3 x / 8 = 2 x / 8 + 3 x / 8 = 5 x / 8
Total remaining levels = x - 5 x / 8 = 3 x / 8
Total remaining levels = 15
3 x / 8 = 15
Multiply both sides by 8
3 x = 120
Divide both sides by 3
x = 40
That's great! Using a calculator that provides the explanation and answer can be very helpful in understanding the steps involved in solving a math problem. But in cases where a calculator is not available or it's important to understand the process, knowing how to solve the problem step by step can be very useful.
To find out how many levels Super Mario Brothers has, we can work backwards step by step.
Let's start by breaking down the information given:
Doug finished 1/4 of the levels last week.
Doug finished 1/2 of the remaining levels this week.
He had 15 more levels to complete.
From this information, we can determine that Doug completed 3/4 of the levels in total: 1/4 + 1/2 = 3/4.
So, we know that Doug completed 3/4 of the levels, leaving 1/4 incomplete.
We are also given that 1/4 of the levels is equal to 15 levels. To find the total number of levels, we need to determine how many levels are represented by 1 whole unit (1/4).
To do this, we can set up a proportion:
1/4 = 15/x
Cross-multiplying, we get:
x = 15 * 4
x = 60
Therefore, there are 60 levels in Super Mario Brothers.