Question

A student answered 86 problems on a test correctly and received a grade 88%.

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

Answer:

98

Step-by-step explanation:

Suppose the total number of questions are 'x'

If the student answered all of them correctly then he would have got 100%

Actual questions answered were 86 and grade received was 88%

Now using the direct proportionality relation we can say

$\frac{x}{86} = \frac{100}{88}$

$x = \frac{100 \times 86}{88}$

$x = 97.72$

So closest whole number is 98.

Answer 2

Given:-

•A student answered 86 problems on a test correctly.

•He received a grade 88%.

To Find:-

•How much problems were on the test.

Solution:-

Let consider numbers of problems were on the test be x.

According to the question,

$\: \: \sf \: \frac{88}{100} \times x = 86 \\ \\ \: \: \sf \: 88 \times x = 86 \times 100 \\ \\ \: \: \sf \: x = \frac{86 \times 100}{88} \\ \\ \: \: \sf \: x = \frac{1075}{11} = 97.7 \: percent$

Henceforth,number of problems is 97.7 and if we approximate then we get 98 respectively.

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Extra Info...

• Determine the total or whole amount.

• Divide the number to be expressed as a percent by the total.In most cases,you'll divide the smaller number by the larger number.

• Multiple the resulting value by 100.