Question

If a salesman averages a new order every other week, he will break the office record for the year. However, after 28 weeks he is four orders behind schedule. In what proportion of the remaining weeks does he have to obtain a new order to break the record? a. 7/10. b. 2/3.c. 4/5.d. 3/5.e. 1/5.

Answer 1

Answer:

b. ⅔

Step-by-step explanation:

Given

Assume weeks in a year = n = 52 weeks

The salesman's average is supposed to be every two weeks.

Let's represents that with a

w = n/2

w = 52/2

w = 26 weeks to break the office record.

After 28 weeks, he should have

28/2 - 4 orders

= 10 orders

But, he falls behind schedule after 28 weeks by 4 orders.

So,he has 10 - 4 orders = 6 orders

Meaning that he still needs

26 - 10 = 16 new orders in the remaining 24 weeks to break the office record.

24 weeks is gotten by (52 - 28) weeks.

Therefore, he should have 16/24 in the remaining proportion

16/24 = ⅔