A boat weighs 1500 lb more than its motor and 1900 lb more than its trailer. Together the boat and motor weigh five times as much as the trailer How much does the boat weigh? Use only ONE variable
2006-10-30 14:26:52 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You just asked this! And got two correct answers!
Why'd you waste 5 points by asking it twice? :(
The boat weighs 2666 2/3 lbs. See link for work:
2006-10-30 14:30:59 · answer #1 · answered by I ♥ AUG 6 · 0⤊ 0⤋
Let the weight of the trailer be 'x'
weight of boat = x + 1900
Weight of motor = x + 400
x + 1900 + x + 400 = 5x
2x + 2300
2300 = 3x
3x = 2300
x = 2300/3
= 766.6666666666666... lbs.
2006-10-31 09:55:14 · answer #2 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
you want the final equation using only one variable right?
boat(B) = 1900 + trailer(T) = 1500 + motor(M)
So, M = 400 + T
the required equation is
1900 + T + 400 + T = 5T
3T = 2300
T = 766 2/3
So, weight of boat = 1900 + T = 2666 2/3 lb
2006-10-30 23:03:54 · answer #3 · answered by Truth Seeker 3 · 0⤊ 0⤋