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

How many problems were on the test, if al

2 thoughts on “A student answered 86 problems on a test correctly and received a grade 88%. <br /><br />How many problems were on the test, if al”

1. 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,

   [tex] \: \: \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[/tex]

   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.

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2. 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

   [tex] \frac{x}{86} = \frac{100}{88} [/tex]

   [tex]x = \frac{100 \times 86}{88} [/tex]

   [tex]x = 97.72[/tex]

   So closest whole number is 98.

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