In a factory there are 7xy+3yz-5zx workers. 8xy+4yz+8zx workers come in the first shift, -5xy-2yz+3zx workers in the second shift and the rest come in the third shift. How many workers come in the third shift?

4xy+yz-16zx

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7xy+yz-16zx

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3xy+2yz+11zx

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4xy+2yz+16zx

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Solution

The correct option is A
4xy+yz-16zx

Number of workers coming in the first and second shift = 8xy+4yz+8zx+ (-5xy-2yz+3zx)

= 8xy+4yz+8zx-5xy-2yz+3zx

= 8xy-5xy+4yz-2yz+8zx+3zx

= 3xy+2yz+11zx

Therefore, number of workers coming in the third shift = Total number of workers in a factory- Number of workers coming in the first and second shift

= 7xy+3yz-5zx-(3xy+2yz+11zx)

= 7xy+3yz-5zx-3xy-2yz-11zx

= 7xy-3xy+3yz-2yz-5zx-11zx

= 4xy+yz-16zx

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The table shows the attendance of 1000 workers in an industry.

Answer the following questions.

$\begin{matrix} D a y s & S h i f t 1 & S h i f t 2 & S h i f t 3 M o n d a y & 300 & 520 T u e s d a y & 270 & 470 W e d n e s d a y & 350 & 450 T h u r s d a y & 400 & 250 F r i d a y & 420 & 330 S a t u r d a y & 500 & 250 \end{matrix}$

a) Find the numbers of workers who worked on Tuesday in shift 2.

b) Find the total number of workers in shift 3.

c) Find the total number of workers in shift 2.

d) Find the total number of workers who worked on Saturday in shift 3.
[4 MARKS]

The table shows the attendance of 1000 workers in an industry.

Answer the following questions.

$\begin{matrix} Days & Shift 1 & Shift 2 & Shift 3 Monday & 300 & 520 Tuesday & 270 & 470 Wednesday & 350 & 450 Thursday & 400 & 250 Friday & 420 & 330 Saturday & 500 & 250 \end{matrix}$

a) Find the numbers of workers who worked on Tuesday in shift 2.
b) Find the total number of workers in shift 3.
c) Find the total number of workers in shift 2.
d) Find the total number of workers who worked on Saturday in shift 3.
[4 MARKS]

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