Janet & Prissy

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mathdad

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A total of 10,000 dollars is to be divided between Janet and Prissy, with Prissy to receive 3000 dollars less than Janet. How much will each receive?

Solution:

Divide 10,000 into two parts:

Prissy = x - 3000
Janet = x

x + x - 3000 = 10,000

2x - 3000 = 10,000 ..................................... typo edited

2x = 10,000 + 3000

2x =13,000

x = 13,000 ÷ 2

x = 6500

Janet will get 6500 dollars.

How about Prissy?

Prissy = x - 3000

Prissy = 6500 - 3000

Prissy = 3500

Prissy will get 3500 dollars.

PROVE:

Prissy + Janet = 10,000

3500 + 6500 = 10,000

10,000 = 10,000...It checks to be true.

What do you say?
 
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Harry_the_cat

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Yes!
 

ksdhart2

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The answer and nearly all of the workings are correct, but there's a minor typo on this line:

\(\displaystyle 2x + 3000 = 10,000\)

Surely that's supposed to be a minus sign, yes?
 

mathdad

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The answer and nearly all of the workings are correct, but there's a minor typo on this line:

\(\displaystyle 2x + 3000 = 10,000\)

Surely that's supposed to be a minus sign, yes?
Yes, there should be a minus sign. It should be as you pointed out: 2x - 3000 = 10,000.
 
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