# Newspaper route: how many days to save $1000? #### RockerChick ##### New member Dwayne has a newspaper route for which he collects k dollars each day. From this amount he pays out k/3 dollars per day for the cost of the papers, and he saves the rest of the money. In terms of k, how many days will it take Dwayne to save$1,000 ?

(a) k/1,500

(b) k/1,000

(c) 1,000/k

(d) 1,500/k

(e) 1,500k

Please show how to solve...my inclination is to plug in a number for k...and then solve that way, but it didnt seem to work

#### Mrspi

##### Senior Member
Re: Newspaper route

RockerChick said:
Dwayne has a newspaper route for which he collects k dollars each day. From this amount he pays out
k/3 dollars per day for the cost of the papers, and he saves the rest of the money. In terms of k, how many days
will it take Dwayne to save $1,000 ? (a) k/1,500 (b) k/1,000 (c) 1,000/k (d) 1,500/k (e) 1,500k Please show how to solve...my inclination is to plug in a number for k...and then solve that way, but it didnt seem to work Dwayne takes in k dollars per day, but he must pay k/3 dollars each day for the papers. So, the amount he actually earns is k - (k/3) dollars each day. Write k as 3k/3, and subtract: (3k/3) - (k/3) = (2k)/3 Dwayne's net earnings for one day is (2k)/3 dollars. Dwayne would like to make$1000. How many days will it take?

Let x = number of days to make $1000 He makes (2k)/3 dollars each day for x days, and this should be$1000. So,

(2k)/3 *(x) = 1000

Can you solve this for x?

If not, please repost showing each step you took to solve (2k)/3 * (x) = 1000. When we can see your work, we can better determine how to help you.

#### stapel

##### Super Moderator
Staff member
RockerChick said:
Please show how to solve...my inclination is to plug in a number for k...and then solve that way, but it didnt seem to work