Question

To fulfill an assignment by a given deadline, a team of workers had to produce 54 parts daily. Exceeding the schedule by 6 parts per day, the team not only finished the assignment 1 day earlier, but also produced 18 extra parts. How many days did the team work?

Answer 1

Answer:  The answer is 12 days.

Step-by-step explanation:  Given that a team of workers had to produce 54 parts daily in order to complete an assignment by a given deadline.

Let 'x' be the number of days in which the work should be finished.

The, the number of parts they are to make = 54x parts.

Also, if they make 6 extra parts each day, then the work will finish 1 day earlier with 18 extra parts, so we have

$(54+6)(x-1)-18=54x\\\\\Rightarrow 60(x-1)=54x+18\\\\\Rightarrow 60x-60=54x+18\\\\\Rightarrow 60x-54x=18+60\\\\\Rightarrow 6x=78\\\\\Rightarrow x=13.$

Therefore, the team worked for 13-1=12 days.

Thus, the number of days is 12.

Answer 2

The team works for a total of 12 days to fulfill an assignment and this can be determined by forming the linear equation in one variable.

Given :

• To fulfill an assignment by a given deadline, a team of workers had to produce 54 parts daily.
• Exceeding the schedule by 6 parts per day, the team not only finished the assignment 1 day earlier but also produced 18 extra parts.

To determine the number of days team work, first, let the total number of days be 'a'.

Now, if they make 6 extra parts per day, the team not only finished the assignment 1 day earlier but also produced 18 extra parts. So, the linear equation becomes:

$(54+6)(a-1)-18=54a$

$60(a-1)-18=54a$

60a - 60 - 18 = 54a

6a = 78

a = 13

So, the team worked for 13 - 1 = 12 days.

For more information, refer to the link given below:

https://brainly.com/question/22122594