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?(1 point)
Let x be the number of pages Susan read yesterday.
1/3*x - 8 = 17
1/3*x = 25
x = <<75=75>>75. Answer: \boxed{75}.
Let's figure this out step by step.
Step 1: Let's assume the number of pages Susan read yesterday is 'x'.
Step 2: We know that Susan read 17 pages today, which is 8 pages fewer than 1/3 of the pages she read yesterday, so we can write an equation:
17 = (1/3)x - 8
Step 3: To solve for x, we need to get rid of the fraction. Multiply both sides of the equation by 3:
3 * 17 = 3 * (1/3)x - 3 * 8
51 = x - 24
Step 4: To solve for x, isolate it on one side of the equation:
x = 51 + 24
x = 75
Therefore, Susan read 75 pages yesterday.
To find out how many pages Susan read yesterday, we need to solve the equation given in the question.
Let's denote the number of pages Susan read yesterday as "x".
According to the information given, today Susan read 17 pages, which is 8 pages fewer than 1/3 of the pages she read yesterday.
So, 1/3 of the pages she read yesterday is x/3, and 8 pages fewer than that would be x/3 - 8.
We know that today she read 17 pages, which is equal to x/3 - 8:
x/3 - 8 = 17
To solve this equation for x, we first need to eliminate the fraction by multiplying both sides of the equation by 3:
3(x/3 - 8) = 3(17)
This simplifies as:
x - 24 = 51
Next, we isolate x by adding 24 to both sides:
x = 51 + 24
x = 75
Therefore, Susan read 75 pages yesterday.
So, she read 75 pages yesterday.