5) A student answered 86 problems on a test correctly and received a grade of 98%. How many problems were on the test, if all the problems were worth the same number of points?
86/.98 = 88
To find the number of problems on the test, we can use a proportion.
Let's assume "x" represents the total number of problems on the test.
We know that the student answered 86 problems correctly, and their grade was 98%, which can also be written as 0.98 as a decimal.
Using the proportion:
86 / x = 0.98 / 1
To solve for "x", we can cross-multiply and solve for "x":
86 * 1 = 0.98 * x
86 = 0.98x
Divide both sides by 0.98:
86 / 0.98 = x
x ≈ 87.76
Since we cannot have a fraction of a problem, we round up to the nearest whole number.
Therefore, there were approximately 88 problems on the test.