Sean and Evan are selling rolls of wrapping paper to raise money for new football uniforms. Evanhas sold seven more than one-half the number of rolls that Sean has. If they have sold a total of121 rolls, how many has Evan sold?
Accepted Solution
A:
No. of rolls sold by Sean = 76No. of rolls sold by Evan = 45Step-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 SeanThenAccording 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 rollsSo,[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 paperAndEvan sold => 121-76 = 45 rolls of wrapping paperHenceNo. of rolls sold by Sean = 76No. of rolls sold by Evan = 45Keywords: Linear equations, variablesLearn more about linear equations at:brainly.com/question/4228574brainly.com/question/4279146#LearnwithBrainly