students collected a total of 200 pounds of newspapers and aluminum. They collected 60 pounds more of newspaper than aluminum. How many pounds of each did they collect?
Help!
2006-11-09 10:19:15 · 16 answers · asked by JaneD 1 in Science & Mathematics ➔ Mathematics
try this equation:
a+(a+60)=200
a stands for the aluminum....
2a+60=200 subtract 60
2a=140 divide by 2
a = 70
so the original amount of aluminum was 70...
add 60 on to that... which is equal to 130 and you get amount of newspapers
2006-11-09 10:25:40 · answer #1 · answered by Steph 2 · 1⤊ 0⤋
Assuming newspapers had a weight of X pounds, that the equation should be X + X + 60 = 2X + 60 = 200
solving for X:
2X = 200 - 60 = 140
therefore: X = 140 / 2 = 70
so...they had 70 pounds of news paper and 70 + 60 = 130 pounds of aluminum!!!
you can check the answer.
2006-11-09 10:25:34 · answer #2 · answered by karroooom 2 · 0⤊ 1⤋
This might seem a little confusing but stick with me...
the answer is: 70 lbs. aluminum, and 130 lbs. newspaper.
here is the equation:
X+(X+60)=200_______X+60 is the 60 lbs. more of newspaper.
-60 -60____________subtract 60 from both sides
X+X=140____________X+X=2X so...
2X=140_____________Divide by 2 on each side to get the X alone.
X=70
So... basically... subtract 60 from 200, divide that number by two, then the number you get is the amount of aluminum, and since there is 60 more pounds of newspaper add 60 to that number and it is the amount of newspaper.
Then check your answer... 70+(70+60)=200 ... 70+130=200 ... 200=200
YEP! that is the right answer!
Hope this helped!
2006-11-09 10:44:29 · answer #3 · answered by sweetasice202 2 · 0⤊ 0⤋
First subtract the extra 60 pounds of newspaper from the total collected.
200- 60
=140 pounds
now divide what's left and allocate each half to either Newspaper or Al.
Allocate 70 pounds each to newspaper and Al
Remember to add the extra 60 pounds on to the half you allocated to newspaper.
They collected 60 + 70 pounds newspaper and 70 pounds Aluminium.
They collected 130 pounds newspaper and 70 pounds Aluminium.
The best bit is that when you add these two weights together, you get 200 pounds.
"It works!"
2006-11-09 10:30:37 · answer #4 · answered by rosie recipe 7 · 1⤊ 0⤋
n+a=200 The total number of pounds collected.
n=a+60 The pounds of newspapers are 60 more than the pounds of aluminum.
When you see n in the original equation, substitute (a+60)
(a+60) + a = 200
Subtract 60 from both sides
a+a=140
Now guess that a = 70 and check to see if it satisfies all of the requirements of the problem.
2006-11-09 10:29:53 · answer #5 · answered by CAPTREE 4 · 0⤊ 0⤋
students collected a total of 200 pounds of newspapers and aluminum. They collected 60 pounds more of newspaper than aluminum. How many pounds of each did they collect?
You can do guess & check.
guess 130 lbs of newspaper
130+a=200
a=70
130-70=60 so 130# newspapers & 70# Al is correct. You might wonder How I was able to do this with only 1 guess.
a+n=200
n-a=60
n=60+a
a+(a+60)=200
2a=140
a=70
n=60+a=60+70=130
A ctually just did it my head.
2006-11-09 10:43:03 · answer #6 · answered by yupchagee 7 · 0⤊ 0⤋
X+(X+60)=200
X=aluminum
X+60=news paper
2X+60=200
2X=140
X=70
130 and 70
2006-11-09 10:25:03 · answer #7 · answered by Anonymous · 0⤊ 0⤋
No sweat. Let's donote newspapaer X and Alu. Y. You will have 2 sets of eaquations. 1) X+Y=200 2) Y+60=X. Now let's sub X from 2) into 1) you'd have Y+60+Y= 200, solve for y which is 70, then X is 130.
2006-11-09 10:34:27 · answer #8 · answered by chienthang092003 1 · 0⤊ 0⤋
200 pounds is the total
then they had 130 pounds of newspaper
and 70 pounds of aluminum
2006-11-09 10:24:26 · answer #9 · answered by Prisma9000 2 · 0⤊ 1⤋
I think they collected 160 pounds of newspapers and 40 pounds of aluminum
2006-11-09 10:28:32 · answer #10 · answered by yetolla 2 · 0⤊ 1⤋