Susan read 17 pages today. That is 8 pages fewer than 1/3 of the pages she read yesterday. How many pages did she read yesterday?
Solve using reverse Pemdas.
Explain the process of what's happening.
Tell which numbers go where when there is an equation like this.
To solve the problem using reverse PEMDAS, we can follow these steps:
1. Identify the given information:
- Susan read 17 pages today.
- The number of pages she read today is 8 pages fewer than 1/3 of the pages she read yesterday.
2. Let's assume the number of pages Susan read yesterday as "x".
3. According to the given information, we know that 1/3 of the pages Susan read yesterday is (1/3)*x.
Thus, 8 pages fewer than 1/3 of the pages she read yesterday would be (1/3)*x - 8.
4. We are also given that Susan read 17 pages today, so we can create the equation:
(1/3)*x - 8 = 17.
5. Now let's solve the equation:
By simplifying, we get:
(1/3)*x = 17 + 8
(1/3)*x = 25.
6. To isolate x, we multiply both sides of the equation by 3:
3 * ((1/3)*x) = 3 * 25
x = 75.
Therefore, Susan read 75 pages yesterday.
To solve the problem using reverse PEMDAS, we need to follow the steps in the opposite order of the typical PEMDAS acronym.
P stands for Parentheses
E stands for Exponents
MD stands for Multiplication and Division (from left to right)
AS stands for Addition and Subtraction (from left to right)
Now, let's break down the problem step-by-step:
1. Let's assume the number of pages Susan read yesterday as "x".
2. According to the problem, today's pages read is 17, and that's 8 pages fewer than 1/3 of the pages she read yesterday. So, we can write the equation as: 17 = (1/3)x - 8.
Now, let's analyze the equation and determine the order of operations:
1. We start with the 'MD' step, which means we perform any multiplication or division operations from left to right. In our equation, there is no multiplication or division, so we move to the next step.
2. Moving on to the 'AS' step, we perform addition and subtraction operations from left to right. In our equation, we have subtraction where we subtract 8 from (1/3)x. So, we can rewrite the equation as: 17 = (1/3)x + (-8).
3. Now, we can simplify the equation further by combining like terms. In this case, 17 and -8 are numbers, so we can rewrite the equation as: 17 + 8 = (1/3)x.
4. Adding 17 and 8 gives us 25, so the equation becomes: 25 = (1/3)x.
5. Finally, we solve for x by isolating it on one side of the equation. In this case, since (1/3)x is multiplying 25, we need to perform the opposite operation, which is division. Therefore, we divide both sides of the equation by (1/3) to solve for x. This results in: x = 25 / (1/3).
In conclusion, the number of pages Susan read yesterday can be calculated by dividing 25 by 1/3.
To solve this problem using reverse PEMDAS, let's break it down step by step:
1. First, we need to determine the total number of pages Susan read yesterday. Let's call this number "Y."
2. According to the given information, Susan read 8 pages fewer today than 1/3 of the pages she read yesterday. This can be expressed as "(1/3)Y - 8," where (1/3)Y represents the number of pages she read yesterday divided by 3, and then subtracting 8 from it.
3. The problem also states that Susan read 17 pages today. We can now set up an equation using the information from steps 1 and 2: (1/3)Y - 8 = 17.
4. To isolate the variable Y, we will reverse PEMDAS by first adding 8 to both sides of the equation: (1/3)Y = 17 + 8.
5. Simplifying the right side of the equation, we have (1/3)Y = 25.
6. To further isolate the variable Y, we need to multiply both sides of the equation by 3, as the coefficient of Y is (1/3), effectively undoing the division: 3 * (1/3)Y = 3 * 25.
7. Simplifying the equation yields Y = 75.
Therefore, Susan read 75 pages yesterday.
In this equation, the number 17 represents the number of pages Susan read today, while the number 8 represents the difference between the number of pages she read today and 1/3 of the pages she read yesterday. The variable Y represents the total number of pages she read yesterday, which we are trying to determine.