sat-dog

106 Choice D is correct. It’s given that a wire with a length of inches is cut into two parts. It’s also given that one part has a length of x inches and the other part + 1=0 6 has a length of y inches. This can be represented by the equation x y . It’s also given that the value of x is 6 more than 4 times the value of y. This can be =4 +6 4 +6 represented by the equation x y . Substituting y for x in the equation + =106 4 +6+ =106 5 +6=106 x y yields y y , or y . Subtracting 6 from each side 5 =100 of this equation yields y . Dividing each side of this equation by 5 yields =20 20 =4 +6 =4 20 +6 y . Substituting for y in the equation x y yields x ^ h , or =86 x . Choice A is incorrect. This value represents less than half of the total length of 106 inches; however, x represents the length of the longer part of the wire, since it’s given that the value of x is 6 more than 4 times the value of y. Choice B is 106 incorrect. This value represents less than half of the total length of inches; however, x represents the length of the longer part of the wire, since it’s given that the value of x is 6 more than 4 times the value of y. Choice C is incorrect. This represents a part that is 6 more than the length of the other part, rather than 6 more than 4 times the length of the other part.