# SOLUTION: Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice Girls and boys. There are 385 surfers in Surf City. Twothirds

Algebra ->  -> SOLUTION: Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice Girls and boys. There are 385 surfers in Surf City. Twothirds       Log On

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 Click here to see ALL problems on Linear-equations Question 249947: Write a system of two equations in two unknowns for each problem. Solve each system by the method of your choice Girls and boys. There are 385 surfers in Surf City. Twothirds of the boys are surfers and one-twelfth of the girls are surfers. If there are two girls for every boy, then how many boys and how many girls are there in Surf City? Can someone please help me solve thisAnswer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!B = number of boys G = number of girls S = number of surfers = 385 . 2/3B + 1/12G = S = 385 . There are 2 girls for each boy. 2B = G .or. B = 1/2G . Substituting into the total equation... 2/3B + 1/12G = 385 . Multiplying through by 12 to remove the fractions... 8B + G = 4620 . Substituting for B with 1/2G 8*1/2G + G = 4620 4G + G = 4620 5G = 4620 G = 924 . Since we know there are twice as many girls as boys, B = G/2 = 924/2 = 462 . Now we can check to see if we substitute these value that we find there are 385 surfers... . 2/3*B = 308 1/12*G = 77 Total=385