SOLUTION: How do you turn "The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the sec
Algebra.Com
Question 488399: How do you turn "The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person receive?" into an equation?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
How do you turn "The sum of $224 was divided among 3 people so that the second person received $1 less than twice as much as the first, and the third received $11 more than the second. How much did each person receive?" into an equation?
:
The amt three people receive: a, b, c
write an equation for each statement.
:
"The sum of $224 was divided among 3 people"
a + b = c = 224
:
"the second person received $1 less than twice as much as the first,"
b = 2a - 1
solve this equation for a
2a = b + 1
a =
:
" the third received $11 more than the second."
c = b + 11
:
Replace a and c in the 1st equation
+ b + (b+11) = 224
get rid of the fraction multiply eq by 2
b + 1 + 2b +2(b+11) = 2(224)
b + 1 + 2b + 2b + 22 = 448
5b + 23 = 448
5b = 448 - 23
3b = 425
b = 425/5
b = $85 is b's share
the
a =
a = $43 is a's share
and
c = 85 + 11
c = $96 is c's share
:
:
Check this; find the total
43 + 85 + 96 = 224
RELATED QUESTIONS
The sum of $224 was divided among 3 people so that the second person received $1 less... (answered by ankor@dixie-net.com)
I'm having trouble with this money word problem. The sum of $224 was divided among 3... (answered by checkley71,stanbon)
the sum of $108 was divided among 3 people so that the second person received $6 less... (answered by josgarithmetic)
The sum of $145 was divided among 3 people so that the second received $5 less then twice (answered by ewatrrr,stanbon)
The sum of $127 was didvided among 3 people so that the second received $5 less than... (answered by stanbon)
Divide 800 among three people so that the second will have twice as much as the first... (answered by rfer)
divide $80 among three people so that tha second will have a twice as much as the first,... (answered by fcabanski)
how can i divide $80 between 3 people so that the second person will have twice as much... (answered by richwmiller)
Divide $80 among three people so that the second will have the twice as much as much the... (answered by mananth)