Sean weighs 10 lb more than twice Brad's weight. If Brad gains 10 lb, together they will weigh 230 lb. How much does each weigh now?
2006-11-06 13:31:36 · 13 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
B = brad's weight
Sean's weight = 2B+10
B + 10 + (2B+10) = 230
3B+20 = 230
3B=210
B= 70
Brad weighs 70 pounds.
Seans = 2*70+10 = 150 pounds
2006-11-06 13:37:56 · answer #1 · answered by jenh42002 7 · 1⤊ 0⤋
S=Sean's weight B=Brad's weight
S=2B +10 (sean is twice Brad's weight plus 10)
(B+10) +S = 230 (Brad's + 10 + Sean's is 230)
Simplify the second equation to:
B+S=220
Substitute: 220-S for B in first equation:
S= 2(220-S) + 10
rewrite as:
S = 440 -2S +10
S = 450 - 2S
3S = 450
S = 150 pounds , B=220-S
B = 70 pounds
(before the 10 pound weight gain)
2006-11-06 13:55:10 · answer #2 · answered by gregory_s19 3 · 0⤊ 0⤋
let x=Brad's weight
then, Sean's weight is 2x+10 (10 lb more than twice Brad's weight)
after Brad gains 10 lb, he will be x+10 lb
together, they will weigh:
(x+10)+(2x+10)=230
add the x's together:
3x+10+10=230
add the numbers together:
3x+20=230
subtract 20 from both sides:
3x=210
divide by 3:
x=70
since x is Brad's weight, then he weighs 70 lb now.
Seans weight:
2x+10
plug in the 70:
2(70)+10
this equals 150
so, Brad weighs 70 lb, and Seans weighs 150 lb.
2006-11-06 13:42:09 · answer #3 · answered by aerial_dreams08 2 · 0⤊ 0⤋
Sean weighs 130 lbs. Brad weighs 70 lbs.
2006-11-06 13:40:41 · answer #4 · answered by Lynette J 1 · 0⤊ 0⤋
Brad's weight is x.
Sean's weight is 2x + 10.
Brad + 10 + Sean = 230
x + 10 + (2x + 10) = 230
3x + 20 = 230
3x = 210
x = 70
Brad weighs 70lbs.
Sean weighs 150lbs.
2006-11-06 13:39:00 · answer #5 · answered by Anonymous · 0⤊ 0⤋
s=sean weight
b=brad weight
s=2b+10
b+10+s=230
b+s=220
b+2b+10=220
3b=210
b=70
s=2b+10=2*70+10=150
Brad weighs 70#
Sean weighs 150#
If Brad gains 10#, he will weigh 80#
80+150=230#
2006-11-06 13:37:28 · answer #6 · answered by yupchagee 7 · 0⤊ 0⤋
Brads weight 70 and seans weight 160.
2006-11-06 13:41:39 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Call Sean's weight "S," and Brad's weight "B."
The first sentence tells us that S=2B+10.
The second sentence tells us that S+B+10=230.
Does that help?
2006-11-06 13:37:26 · answer #8 · answered by Anonymous · 0⤊ 0⤋
s = 2b + 10 eq.1
s + b + 10 = 230 eq.2
sub eq.1 to eq.2
2b + 10 + b + 10 = 230
3b + 20 = 230
3b = 230-20
3b = 210
b = 70
sub value of b in eq. 1
s = 2b + 10
s = 2(70) + 10
s = 140 + 10
s = 150
2006-11-06 13:52:25 · answer #9 · answered by kezongputi 2 · 0⤊ 0⤋
Brad= 80lbs
Sean=150lbs
2006-11-06 13:39:14 · answer #10 · answered by poprocksandsocks 2 · 0⤊ 0⤋