# 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

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 Question 249921: 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 ankor@dixie-net.com(15746)   (Show Source): You can put this solution on YOUR website!Let b = no. of boys in Surf city Let g = no. of girls : Write an equation for each statement: : There are 385 surfers in Surf City. Two-thirds of the boys are surfers and one-twelfth of the girls are surfers. b + g = 385 Get rid of these annoying denominators, multiply by 12, results: 4(2)b + g = 12(385) 8b + g = 4620 : If there are two girls for every boy, then how many boys and how many girls are there in Surf City? g = 2b : Replace g with 2b in the 1st equation 8b + 2b = 4620 10b = 4620 b = b = 462 boys in surf city then 2(462) = 924 girls ; : See if that is true, check in the original equation (462) + 924 = 308 + 77 = 385; confirms our solutions ; : How about this? did it make sense to you?