Question

How many newspapers would Diane and Jeremy each need to deliver in order to earn the same amount?

Posted: 13 Oct 09 03:43

Number of bids: 2

Posted by:
Benjamaster

Questions Asked: 1

Cost:

Status:

$0.8

Answered

Question:

Diane delivers newspapers for $5 a day plus $0.04 per newspaper delivered. Jeremy delivers newspapers for $2 a day plus $0.10 per newspaper delivered. How many newspapers would Diane and Jeremy each need to deliver in order to earn the same amount?

A. 30
B. 50
C. 75
D. 83

Attachments:

Answers


06 Nov 09 15:38

 tutorman
No Rating

Answer Preview:

Answer is less than 20 words long and can’t be previewed.

Please login or register as a student if you’d like to buy this answer.

15 Oct 09 14:54

 Albert
No Rating

Bid: $0.5

Pre Answer and Proposal :

As you're given multiple choices, the easiest way to answer this may be to try them all and see which works.

eg. If they both delivered 30 papers:
Diane would earn 5 + 30x0.04 = $6.20
Jeremy would earn 2 + 30x0.10 = $5

So 30 isn't the right answer, but try the next choice and you may get luckier.

To answer it without using the choices, you need to make an equation out of the question.
If Diane delivers P papers, she will earn 5 + 0.04P. In the same way, Jeremy would earn 2 + 0.1P.

The value of P we want is the one that solves
5+0.04P = 2+0.1P

To solve this, put all terms containing P on one side of the equation, and all other terms on the other:

5 - 2 = 0.1P - 0.04P
3 = 0.06P

Then divide by 0.06 to get P:

P = 50.

So the answer to the question is 50. Checking confirms this, as they would both earn $7.

Please login or register as a student if you’d like to buy this answer.