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.

1 answer

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.