A factory was required to produce a crtain number of television in four days. On the first day, it produced 1/6 of the required number of television sets. On the second day, it produced another 18 sets. On the third day it produced twice as many television sets as those produced on the first two days. On the fourth day, it completed the remaining 9 televison sets. How many television sets did the factory produce in the 4 days?
Total = X sets.
1. x/6 Sets.
2. 18 Sets.
3. 2(x/6+18) Sets.
4. 9 Sets.
X = x/6+18+2(x/6+18)+9.
X = x/6+18+2x/6+36+9.
X = 3x/6+63.
X = x/2+63.
2x = x+126.
X = 126 TV sets.
To find the total number of television sets produced in the four days, we need to add up the number of sets produced each day.
On the first day, the factory produced 1/6 of the required number of television sets. Let's say the required number of sets is x. So, the number produced on the first day is (1/6)x.
On the second day, the factory produced another 18 sets. So, the total number produced in the first two days is (1/6)x + 18.
On the third day, the factory produced twice as many television sets as those produced on the first two days. Hence, the number produced on the third day is 2((1/6)x + 18) = (2/6)x + 36 = (1/3)x + 36.
On the fourth day, the factory completed the remaining 9 television sets. So, the total number produced in the four days is (1/6)x + 18 + (1/3)x + 36 + 9.
Now, we can add up these expressions to find the total:
(1/6)x + 18 + (1/3)x + 36 + 9 = (1/6)x + (1/3)x + 63.
Combining the x terms, we have:
(1/6)x + (1/3)x = (2/6)x + (1/6)x = (3/6)x = (1/2)x.
Substituting this back into the expression, we get:
(1/2)x + 63.
So, the factory produced (1/2)x + 63 television sets in the four days. However, we need to know the value of x (the required number of sets) in order to find the exact number of sets produced.