ling answered 86 problems on a test correctly and received a grade 98%. How many problems were on the test if all the problems were worth the same number of points?
Let x = Total number of problems on the test
86 / x = .98, now solve it as a proportion and you will get your answer.
To find out how many problems were on the test, we can set up a proportion using the number of problems Ling answered correctly and the percent grade.
Let's assume that there were 'x' problems on the test.
The proportion would be:
Number of problems answered correctly / Total number of problems = Grade percentage / 100
Substituting the given values:
86 / x = 98 / 100
To solve for 'x', we can cross-multiply and then solve for 'x':
86 * 100 = 98 * x
8600 = 98 * x
Divide both sides of the equation by 98:
8600 / 98 = x
x ≈ 87.76
Since it doesn't make sense to have a fraction of a problem, we can round up to the nearest whole number.
Therefore, there were approximately 88 problems on the test.