Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.Which equation can Russell use to find how many miles, x, he ran each day after school?Choices:(A) 2(x+5)=30(B) 5(x+2)=30(C) 5x+2=30(D) 2x+5=30How many miles did Russell run each day after school?Write your answer as a whole number or a simplified fraction.____ miles
Q. Russell has been training for the Emerald Valley Race. The first week he trained, he ran 5 days and took the same two routes each day. He ran 2 miles around the football field before school and ran a longer route through his neighborhood after school. By the end of the week, Russell had run a total of 30 miles.Which equation can Russell use to find how many miles, x, he ran each day after school?Choices:(A) 2(x+5)=30(B) 5(x+2)=30(C) 5x+2=30(D) 2x+5=30How many miles did Russell run each day after school?Write your answer as a whole number or a simplified fraction.____ miles
Identify Total Miles: Identify the total miles Russell ran each day and the structure of the equation needed.Russell ran 2 miles around the football field and x miles through his neighborhood each day, for 5 days. The equation should reflect the total miles run in a week.Calculation: 5 days × (2 miles + x miles) = 30 miles.
Match Derived Equation: Match the derived equation with the given choices.The correct equation from the calculation is 5(2+x)=30, which matches choice (B) 5(x+2)=30.
Solve for x: Solve the equation 5(x+2)=30 to find x.Divide both sides by 5: x+2=6.Subtract 2 from both sides: x=4.
More problems from Solve two-step equations: word problems