Sean and Evan are selling rolls of wrapping paper to raise money for new football uniforms. Evan
has sold seven more than one-half the number of rolls that Sean has. If they have sold a total of
121 rolls, how many has Evan sold?​

Respuesta :

No. of rolls sold by Sean = 76

No. of rolls sold by Evan = 45

Step-by-step explanation:

We have to form a linear equation to find the number of wrapping paper rolls.

Let x be the number of rolls sold by Sean

Then

According to "Evan  has sold seven more than one-half the number of rolls that Sean has."

No. of rolls Evan has sold = [tex]=\frac{1}{2}x +7\\[/tex]

In total they sold 121 rolls

So,

[tex]x + (\frac{1}{2}x+7) = 121\\x+ \frac{1}{2}x+7 = 121\\\frac{3}{2}x = 121-7\\\frac{3}{2}x = 114[/tex]

Multiplying both sides by 2/3

[tex]\frac{3}{2}x*\frac{2}{3} = 114 * \frac{2}{3}\\x = 76[/tex]

So, Sean sold 76 rolls of paper

And

Evan sold => 121-76 = 45 rolls of wrapping paper

Hence

No. of rolls sold by Sean = 76

No. of rolls sold by Evan = 45

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/4228574
  • brainly.com/question/4279146

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