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

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

the law of definite proportions states samples of a compound will always contain the same proportion of elements by mass. in other words, a given compound will always contain the same elements in the same proportions by mass.the law of multiple proportions states when two elements combine with each other to form more than one compound, then the weights of one element that combine with a fixed weight of the other are in a ratio of small whole numbers.