SOLUTION: Three friends drove southeast to New Mexico. Kyle drove half as far as Jamaal. Conner drove 4 times as far as Kyle. Altogether, they drove 476 miles. How far did each friend drive?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Three friends drove southeast to New Mexico. Kyle drove half as far as Jamaal. Conner drove 4 times as far as Kyle. Altogether, they drove 476 miles. How far did each friend drive?      Log On

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Question 1202052: Three friends drove southeast to New Mexico. Kyle drove half as far as Jamaal. Conner drove 4 times as far as Kyle. Altogether, they drove 476 miles. How far did each friend drive?
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

Three friends drove southeast to New Mexico.
Kyle drove half as far as Jamaal.
Assume Kyle drove x miles
Jamaal drove 2x miles
Conner drove 4 times as far as Kyle.
Kyle drove 4x miles
x+2x+4x = 476
7x =476
x= 476/7=68
Kyle 68 miles
Jamaal drove 2x = 2*68= 136 miles
Conner drove 4x miles = 4*68 = 272 miles
68+136+272 =476




How far did each friend drive?

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Most convenient is give Kyle's distance a variable.
Kyle              k
Jamaal           2k
Conner           4k
TOTAL            476

k%2B2k%2B4k=476----------solve....