Lori still has 60% of the book to read. If she has read 120 pages, how many pages does she still have to read?
Let's first find out what percentage of the book Lori has left to read.
If she has already read 120 pages, that means she has only read 40% of the book (since 100% - 60% = 40%).
To find out how many pages she still has to read, we can set up a proportion:
40/100 = x/60
(We're using proportions because we know that Lori has read 40% of the book and has 60% left to read, so that's the same as saying she has read 40 out of 100 pages and has x number of pages left to read out of a total of 60 pages.)
To solve for x, we can cross-multiply:
40 * 60 = 100 * x
2400 = 100x
Divide both sides by 100:
24 = x
Therefore, Lori still has 24 pages left to read.
Dewayne missed for the 30 problems on the problem set what percent of the problems did Dewayne answer correctly?
We need to know how many problems Dewayne answered correctly in order to calculate what percent he answered correctly.
If there were 30 problems on the problem set and Dewayne missed some of them, that means he answered 30 minus the number he missed correctly. Let's say he missed 5 problems.
So, Dewayne answered 30 - 5 = 25 problems correctly.
To find the percentage of problems he answered correctly, we can set up a proportion:
25/30 = x/100
(We're using proportions because we know that Dewayne answered 25 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
25 * 100 = 30 * x
2500 = 30x
Divide both sides by 30:
83.33 = x
Therefore, Dewayne answered 83.33% of the problems correctly.
Dewayne missed four the 30 problems on the problem set what percent of the problems did Dewayne answer correctly?
If Dewayne missed 4 problems, that means he answered correctly 30 - 4 = 26 problems.
To find the percentage he answered correctly, we can set up a proportion:
26/30 = x/100
(We're using proportions because we know that Dewayne answered 26 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
26 * 100 = 30 * x
2600 = 30x
Divide both sides by 30:
86.67 = x
Therefore, Dewayne answered 86.67% of the problems correctly.
Dewayne missed four the 30 problems on the problem set, what percent of the problems did Dewayne answer correctly? Simplify to the nearest whole number.
If Dewayne missed 4 problems, that means he answered correctly 30 - 4 = 26 problems.
To find the percentage he answered correctly, we can set up a proportion:
26/30 = x/100
(We're using proportions because we know that Dewayne answered 26 out of 30 problems correctly, and we want to find out what percent that is, or x out of 100.)
To solve for x, we can cross-multiply:
26 * 100 = 30 * x
2600 = 30x
Divide both sides by 30:
86.67 = x
Rounding this to the nearest whole number, we get:
x = 87%.
Therefore, Dewayne answered 87% of the problems correctly.
Gilbert answered 48 questions correctly this was 4/5 of the questions on the test. How many questions were on the test? What was the ratio of Gilbert's correct answers to his incorrect answers?
Let's use algebra to solve for the number of questions on the test.
If Gilbert answered 48 questions correctly, and that was 4/5 of the total number of questions on the test, we can set up an equation:
4/5 * total number of questions = 48
To solve for the total number of questions, we can multiply both sides by the reciprocal of 4/5 (which is 5/4):
(total number of questions) = 48 * (5/4)
(total number of questions) = 60
Therefore, there were 60 questions on the test.
To find the ratio of Gilbert's correct answers to his incorrect answers, we need to know how many questions he answered incorrectly.
If he answered 48 questions correctly, and the test had 60 questions in total, that means he answered 60 - 48 = 12 questions incorrectly.
So the ratio of his correct answers to his incorrect answers is:
48:12
Simplifying this ratio by dividing both sides by 12, we get:
4:1
Therefore, Gilbert answered 4 questions correctly for every 1 question he answered incorrectly.