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?
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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

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ap8997154 ap8997154 · Answer 2 · 2022-04-12T15:09:44+02:00

The number of parts that are supposed to be produced by both teams are 320 and 360 respectively.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of parts that is needed to be produced by the first team be x, while the number of parts that is needed to be produced by the second team be y.

The total number of products that are needed to be produced by both teams together can be written as,

[tex]x+y=680[/tex]

If we solve the equation for y we will get,

[tex]y=680-x\\[/tex]

Now, the total number of products produced by both the team together can be written as,

[tex]1.20x+1.15y=680+118\\\\1.20x+1.15y=798[/tex]

Substitute the value of y,

[tex]1.20x+1.15(680-x)=798\\\\1.20x+782-1.15x=798\\\\0.05x=16\\\\x = 320[/tex]

Now, substitute the value of x in any of the equations to get the value of y,

[tex]x+y=680\\\\320+y=680\\\\y=360[/tex]

Thus, the number of parts that are supposed to be produced by both teams are 320 and 360 respectively.

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