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?
2 answers:
Let
x------> parts produced by the first team <span>according to the plan
</span>y------> parts produced by the second team according to the plan
we know that
x+y=680--------> equation 1
0.20x+0.15y=118--------> equation 2
using a graph tool
see the attached figure
the solution is
x=320
y=360
the answer is
parts produced by the first team according to the plan------> 320
parts produced by the second team according to the plan----> 360
x------> parts produced by the first team <span>according to the plan
</span>y------> parts produced by the second team according to the plan
we know that
x+y=680--------> equation 1
0.20x+0.15y=118--------> equation 2
using a graph tool
see the attached figure
the solution is
x=320
y=360
the answer is
parts produced by the first team according to the plan------> 320
parts produced by the second team according to the plan----> 360
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Answer:
k = ⅕
Step-by-step explanation:
The slope-intercept equation for a straight line is
y = mx + b, where
m = the slope and
b = the y-intercept
Data:
(3,4) = a point on the line
(3k,0) = x-intercept
(0,-5k) = y-intercept
Calculations:
1. Slope
m = (y₂ - y₁)/(x₂ - x₁) = (-5k - 0)/(0 - 3k) = -5/(-3) = ⁵/₃
This makes the equation
y = ⁵/₃x - 5k
2. k
Insert the value of the known point: (3,4)
4 = (⁵/₃)(3) - 5k
4 = 5 - 5k
-1 = -5k
k = ⅕
The figure below shows your graph passing through (3,4) with intercepts 3k and -5k on the x- and y-axes respectively .
