rocio finished 21 pages of a book in 3 days. monday she finished half of what she did on tuesday and wednesday she finished twice as much as she did on tuesday. how much did she read each day?
Finished X-Pages on Tue.
Finished X/2 Pages on Mon.
Finished 2X-Pages on Wed.
X + X/2 + 2x = 21 Pages.
7x/2 = 21.
Multiply both sides by 2:
7x = 42
X = 6 Pages.
X/2 = 6/2 = 3 Pages.
2x = 2*6 = 12 Pages.
Let's break down the information given step-by-step:
1. Rocio finished 21 pages of a book in 3 days.
- This means she read an average of 21/3 = 7 pages per day.
2. Monday, she finished half of what she did on Tuesday.
- Let's say she read x pages on Tuesday.
- This means she read (1/2)*x pages on Monday.
3. Wednesday, she finished twice as much as she did on Tuesday.
- This means she read 2x pages on Wednesday.
Now, let's sum up the daily readings:
Monday: (1/2)*x
Tuesday: x
Wednesday: 2x
According to the information given, the total number of pages read over these three days is 21:
(1/2)*x + x + 2x = 21
To find the value of x, we can solve the equation:
(1/2)*x + x + 2x = 21
(5/2)*x = 21
x = (21 * 2) / 5
x = 42 / 5
x = 8.4
Since it's not possible to read a fraction of a page, we can round the value of x to the nearest whole number.
Hence, Rocio read approximately 8 pages on Tuesday.
Now, let's calculate the readings for each day:
Monday: (1/2)*x = (1/2)*8 = 4 pages
Tuesday: x = 8 pages
Wednesday: 2x = 2 * 8 = 16 pages
Therefore, Rocio read 4 pages on Monday, 8 pages on Tuesday, and 16 pages on Wednesday.
To find out how much Rocio read each day, let's break down the information given in the question:
1. Rocio finished 21 pages in 3 days.
2. On Monday, she finished half of what she did on Tuesday.
3. On Wednesday, she finished twice as much as she did on Tuesday.
Let's calculate the number of pages Rocio read on each day:
1. Calculate the average number of pages she read each day: 21 pages ÷ 3 days = 7 pages/day.
This tells us that, on average, she read 7 pages per day over the 3 days.
2. On Monday, she finished half of what she did on Tuesday:
Let's assume she read x pages on Tuesday. Therefore, she read (1/2)x pages on Monday.
3. On Wednesday, she finished twice as much as she did on Tuesday:
That means she read 2x pages on Wednesday.
Now, let's sum up the total pages she read over the 3 days:
Monday: (1/2)x pages
Tuesday: x pages
Wednesday: 2x pages
The total number of pages she read over the 3 days is:
(1/2)x + x + 2x = 21 pages
To solve this equation, we can combine like terms:
(5/2)x = 21
Now we can solve for x by isolating it:
x = (21 ÷ (5/2))
x = 8.4
Substituting the value of x back into the equation, we can find the amount Rocio read each day:
Monday: (1/2)(8.4) = 4.2 pages
Tuesday: 8.4 pages
Wednesday: 2(8.4) = 16.8 pages
Therefore, Rocio read 4.2 pages on Monday, 8.4 pages on Tuesday, and 16.8 pages on Wednesday.