Question

A student 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?(Round to the nearest whole number)

Answer 1

To determine the total number of problems on the test, we set up a proportion based on the percentage grade and solve for the number of questions, rounding to the nearest whole number. The result is approximately 88 problems.

Step-by-step explanation:

The student wants to find out the total number of problems on a test after answering 86 problems correctly and receiving a 98% grade. To solve this, we need to set up a proportion where the number of correct answers is to the total number of questions as the percentage grade is to 100%.

So, let x be the total number of questions on the test. The proportion would look like this:

86 / x = 98% / 100%

To find x, we cross-multiply and solve for x:

86 * 100 = 98 * x

8600 = 98x

x = 8600 / 98

x ≈ 87.76

Since we need to round to the nearest whole number, the total number of problems on the test is approximately 88.