Answer:
2 points problems are 30
5 points problems are 8
Explanation:
let's 2points problems are x
then worth of points is 2x
And 5points problems are (x-22)
worth of 5points problem is 5(x-22)
total worth
2x+5(x-22)=100
2x+5x-110=100
7x=210
x=30
given:
total number of points = 100
let the number of problems with 2 points be 2x
let the number of problems with 5 points be 5y
2x + 5y = 100.....1
2x – 22 = 5y
2x – 5y = 22........2
adding eq 1 and 2
[tex] \: 2x + 5y = 100 \\ 2x - 5y = 22 \: \: \: \: \: \\ - - - - - - - - - - \\ 2x = 78[/tex]
[tex]x = \frac{78}{2} [/tex]
[tex]x = 39[/tex]
substituting the value of x in equation 2
[tex]2x – 5y = 22 \\ 78 - 5y = 22 \\ - 5y = - 56 \\ y = \frac{ - 56}{ - 5} [/tex]
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Answers & Comments
Answer:
2 points problems are 30
5 points problems are 8
Explanation:
let's 2points problems are x
then worth of points is 2x
And 5points problems are (x-22)
worth of 5points problem is 5(x-22)
total worth
2x+5(x-22)=100
2x+5x-110=100
7x=210
x=30
Answer:
given:
total number of points = 100
let the number of problems with 2 points be 2x
let the number of problems with 5 points be 5y
2x + 5y = 100.....1
2x – 22 = 5y
2x – 5y = 22........2
adding eq 1 and 2
[tex] \: 2x + 5y = 100 \\ 2x - 5y = 22 \: \: \: \: \: \\ - - - - - - - - - - \\ 2x = 78[/tex]
[tex]x = \frac{78}{2} [/tex]
[tex]x = 39[/tex]
substituting the value of x in equation 2
[tex]2x – 5y = 22 \\ 78 - 5y = 22 \\ - 5y = - 56 \\ y = \frac{ - 56}{ - 5} [/tex]
Explanation:
hope it helps u
plz mark me the brainliest