SOLUTION: I am not sure how to calculate the following word problem, please help when you can and advise who to calculate the answer. In country A, about five times as many cars are manuf

Algebra ->  Human-and-algebraic-language -> SOLUTION: I am not sure how to calculate the following word problem, please help when you can and advise who to calculate the answer. In country A, about five times as many cars are manuf      Log On


   

Question 418690: I am not sure how to calculate the following word problem, please help when you can and advise who to calculate the answer.
In country A, about five times as many cars are manufactured per day than in country B. If the total number of these cars manufactured per day is 39624, fine the number manufactured in country B and the number manufactured in country A.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let the number of the cars in country A be x, and the number of the cars in country B be y
In country A, about five times as many cars are manufactured per day than in country B.
x=5x..........1
If the total number of these cars manufactured per day is 39624,
x%2By=39624.........2
fine the number manufactured in country B and the number manufactured in country A.

x=5y..........1

x%2By=39624.........2...solve this system by substituting x from 1 in 2
5y%2By=39624...solve for y
6y=39624
y=39624%2F6
y=6604.......now find x

x=5y..........1
x=5%2A6604
x=33020
the number manufactured in country B is y=6604
the number manufactured in country A is x=33020
check:
x%2By=39624.........2
33020%2B6604=39624
39624=39624