A manufacturer of TV sets produced 600 sets
in the third year and 700 sets in the seventh
year. Assuming the production increases
uniformly by a fixed number every year,
find :
(i) the production in the first year
(ii) the production in the 10th year
(iii) the total production in first 7 years.
Answers
Answer:
(i) the production in the first year = 550 sets
(ii) the production in the 10th year = 775 sets
(iii) the total production in first 7 years. = 4,375 sets
Step-by-step explanation:
TV sets produced in the third year = 600
TV sets produced in the seventh year = 700
Assuming the production increases uniformly by a fixed number every year,
find :
- difference between third year and seventh year = 7 - 3 = 4 years
- difference in product between third year and seventh year = 700 - 600 = 100
- in 4 yaers ->100 sets were produced more
- In 1 year --> 100/4 = 25 sets were produced more
Year 1 = 575 - 25 = 550 sets
Year 2 = 600-25 = 575 sets
Year 3 = 600 sets
Year 4 = 600 + 25 = 625 sets
Year 5 = 625 + 25 = 650 sets
Year 6 = 650 + 25 = 675 sets
Year 7 = 700 sets
Year 8 = 700 + 25 = 725 sets
Year 9 = 725 + 25 = 750 sets
Year 10 = 750 + 25 = 775 sets
(i) the production in the first year = 550 sets
(ii) the production in the 10th year = 775 sets
(iii) the total production in first 7 years. = (550*7) + 25 (0+1+2+3+4+5+6) = 3850 + 525 = 4375