Question

7. 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 solve this problem, you need to use the fact that the student received a grade of 98% on the test. This means that the student received 98% of the total points available on the test.

Let's say that the total number of points on the test is "x." This means that the student received 0.98*x points on the test.

We also know that the student answered 86 problems correctly. If each problem is worth the same number of points, and the student answered 86 problems correctly, then the student received 86 points.

We can set up the equation 0.98*x = 86 to represent this information. Solving for x gives us:

x = 86 / 0.98

= 87.7561

Rounding to the nearest whole number, we find that the total number of problems on the test was 88.

Explanation:

Answer 2

Answer: 88 questions.

Explanation:

We will set up a proportion to help us solve. Keep in mind that a percent divided by 100 is a decimal.

Let us create a proportion, with percentages on top (numerator) and number of problems on bottom (denomintor):

`\displaystyle (98)/(86) =(100)/(x)`

Cross-multiply and divide both sides by 98:

98x = 8,600

x = 87.755

Round to the nearest whole number:

x ≈ 88