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notka56 [123]
3 years ago
15

Kyra observed that 85% of the students at a library liked reading mystery stories. If 30 students at the library did not like re

ading mystery stories, the number of students at the library who liked mystery stories was _____. (only put numeric values, no other symbols)
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0
85% liked => 15% didn't like

30 = 15% of x
30 = 0.15 x => x = 30 / 0.15 = 200. This is the total number of students at the library.

Then 200 - 30 = 170 is the number of students whom did like reading mistery stories.

Answer: 170.


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The product of two numbers is 240. The first number is 8 less than the second number. Write an equation can be used to find x
DaniilM [7]

Answer:

The equation x = y-8

The equation  (y-8) y = 240

The first number x = 12 and second number y =20

Step-by-step explanation:

<u>Explanation</u>:-

<u>Step(l)</u>:-

Let 'x' be the first number and 'y' be the second number

Given the product of two numbers is 240

Given  data        x y = 240 …(l)

Given data the first number is 8 less than the second number.

                       x = y-8...(ll)

Substitute (ll) in equation (l) , we get

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                           y^{2} -8y -240 =0

                            y^{2} -20y+12y -240 =0

                           y(y -20)+12(y -20) =0

                           (y +12)(y -20) =0

                          y = -12 and y = 20

              Y= -12 is not satisfied

              we can choose y = 20

<u>Step(ll):</u>-

Given data x =y-8

  substitute value y = 20 in x = y -8

                                             x = 20-8 = 12

<u>Final answer</u>:-

The first number x = 12 and second number y =20

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