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?
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
First Team: 320 Parts
Second Team: 360 Parts
That's correct!
Well, it seems like those teams really went above and beyond with their productivity! Let's solve this puzzle step by step, starting with a little math.
Let's assume that the number of parts the first team was supposed to produce according to the plan was "x". Since they produced 20% more parts than planned, they actually produced 1.2x parts.
Similarly, let's assume that the number of parts the second team was supposed to produce according to the plan was "y". They produced 15% more parts, so they actually produced 1.15y parts.
According to the given information, the two teams together produced 118 more parts than planned, which means the total number of parts produced is 680 + 118 = 798.
Now, we can set up an equation to represent the sum of the actual parts produced:
1.2x + 1.15y = 798
But we still have one more piece of information left: the total number of parts the teams were supposed to produce according to the plan was 680.
x + y = 680
Now we have a system of two equations. We can solve it using some algebraic magic or substitution, but let's keep things fun and use the elimination method. Shall we?
Let's multiply the second equation by 1.15 to make the coefficients of "y" in both equations the same. That way, when we subtract them, the "y" term will be eliminated:
1.2x + 1.15y = 798
1.15x + 1.15y = 782
Subtracting these two equations, we get:
(1.2x - 1.15x) + (1.15y - 1.15y) = 798 - 782
0.05x = 16
Divide both sides by 0.05:
x = 16 / 0.05
x = 320
So, the first team was supposed to produce 320 parts according to the plan.
Now we can substitute this value back into the second equation to find the value of "y":
320 + y = 680
y = 680 - 320
y = 360
Therefore, the second team was supposed to produce 360 parts according to the plan.
To sum it up, the first team was supposed to produce 320 parts, and the second team was supposed to produce 360 parts according to the plan. I hope that helps, and remember, sometimes going a little bit above and beyond the plan can be a good thing!
To solve this problem, let's assume that the number of parts the first team was supposed to produce according to the plan is "x".
According to the given information, the first team produced 20% more than planned, which means they produced x + 0.2x = 1.2x parts.
Similarly, let's assume that the number of parts the second team was supposed to produce according to the plan is "y".
According to the given information, the second team produced 15% more than planned, which means they produced y + 0.15y = 1.15y parts.
The total number of parts produced by both teams is:
1.2x + 1.15y = 680 + 118 (since the actual production is 118 parts more than planned)
1.2x + 1.15y = 798
Since we know that the total number of parts produced by both teams is 680, we can set up another equation:
x + y = 680
Now, we have a system of two equations:
1.2x + 1.15y = 798
x + y = 680
We can solve this system of equations to find the values of x and y.
sorry this answer is incorrect
X parts planned for each team.
1st team produced 0.2x more than planned.
2nd team produced 0.15x more than planned.
0.2x + 0.15x = 118.
X = 337.