Distribute $4950 among John, Maria, and Betsy so that Maria receives twice as much as John and Betsy receives three times as much as Maria.

fortdefruitI

fortdefruitI

Answered question

2020-11-20

Distribute $4950 among John, Maria, and Betsy so that Maria receives twice as much as John and Betsy receives three times as much as Maria.

Answer & Explanation

StrycharzT

StrycharzT

Skilled2020-11-21Added 102 answers

Lex x be the amount John receives so that Maria receives 2x. It follows that Betsy receives 3(2x)=6x, all in dollars.
The sum of money to be divided among the three people is $4950 so we can write: x+2x+6x=4950
9x=4950
x=550
So, the amounts they will receive are: John: $550
Maria: $1100
Betsy: $3300

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-10Added 2605 answers

Answer is given below (on video)

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