Question

Two teams of workers were scheduled to produce 680 parts in a month. The first team produced 20% more parts than planned and the second team produced 15% more than planned. The two teams together produced 118 parts more than planned. How many parts was each team supposed to produce according to the plan?
max points up for grabs

Answer 1

1.2a+1.15b=(680+118)=798   and a+b=680, 

Solving for a from the second equation we get: a=680-b

Using 680-b for a in the first equation we get:

1.2(680-b)+1.15b=798

816-1.2b+1.15b=798

816-0.05b=798

-0.05b=-18

b=360, and since a=680-b

a=320

So the a team was supposed to produce 320 parts and the b team was supposed to produce 360 parts...

check...

320*1.2+360*1.15=680+118

384+414=798

798=798

Answer 2

1.2a+1.15b=(680+118)=798
a+680-b
1.2(680-b)+1.15b=798
816-1.2b+1.15b=798
816-0.05b=798
-0.05b=-18
b=360, a=680-b
a=320
team A=320 parts
team B=360 parts