SOLUTION: The body of a toy dinosaur is as long as its head and tail added together. The head of the toy dinosaur is 8 cm long. Its tail is as long as the head plus 1/3 the length of its bod

Algebra ->  Length-and-distance -> SOLUTION: The body of a toy dinosaur is as long as its head and tail added together. The head of the toy dinosaur is 8 cm long. Its tail is as long as the head plus 1/3 the length of its bod      Log On


   

Question 982090: The body of a toy dinosaur is as long as its head and tail added together. The head of the toy dinosaur is 8 cm long. Its tail is as long as the head plus 1/3 the length of its body. What is the length of the toy dinosaur?
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Hi there,
Make the body = 'x'
Body = Head + Tail
x = 8 + (8 + x/3)
x = 16 + x/3
Using a common denominator of 3
(3x = 48 + x)/3
Collect like terms of numerator
3x - x = 48
2x = 48
x = 24
Head = 8cm
Body = 24cm
Tail = 8 + 24/3 = 16cm
Length of dinosaur = 48cm in total.
Hope this helps:-)