SOLUTION: a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model. b) Suppose the tank of the model locomoti

Algebra ->  Proportions -> SOLUTION: a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model. b) Suppose the tank of the model locomoti      Log On


   

Question 442768: a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model.
b) Suppose the tank of the model locomotive contains 0.85 liters of water when full, find the capacity of the tank of the locomotive.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a) A locomotive is 10 m long and weighs 72 tonnes. A similar model, made of the same material, is 40 cm long, find the mass of the model.
:
Convert 40 cm to .4 m
:
Use a volume proportion equation, let x = mass of the 40 cm engine
x%2F72= .4%5E3%2F10%5E3
x%2F72= .064%2F1000
Cross multiply:
1000x = 72 * .064
1000x = 4.608
x = 4.608%2F1000
x = .004608 tonnes
change to kilograms
.004608*1000 = 4.61 kg
:
:
b) Suppose the tank of the model locomotive contains 0.85 liters of water when full, find the capacity of the tank of the locomotive.
.85%2Fx= .064%2F1000
.064x = 1000*.85
.064x = 850
x = 850%2F.064
x = 13,281.25 liters of water