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
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