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Jane has $10 more than Bill, Bill has $17 more than Tricia, and Tricia has $21 more than Steve. If the total amount of all their moneyis $171, how much morley does each have?Steve has $Tricia has $Bill has $and Jane has $

User CodingSlayer
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Jane has $10 more than Bill, Bill has $17 more than Tricia, and Tricia has $21 more than Steve. If the total amount of all their money

is $171, how much morley does each have?

Steve has $

Tricia has $

Bill has $

and Jane has $

Let

x ------> amount that Steve has

y -----> amount that Tricia has

z ----> amount that Bill has

w ----> amount that Jane has

we know that

x+y+z+w=171 -------> equation A

w=z+10 -----> equation B

z=y+17 ------> equation C

y=x+21 -----> equation D

step 2

isolate variable y in equation C

y=z-17 ------> equation E

substitute equation E in equation D

z-17=x+21

isolate the variable x

x=z-17-21

x=z-38 ------> equation F

step 3

substitute equation F, equation E, and equation B in equation A

so

(z-38)+(z-17)+(z+10)+z=171

solve for z

4z-45=171

4z=171+45

4z=216

z=$54

Find the value of x

x=z-38 ------> equation F

x=54-38=$16

Find the value of y

y=z-17 ------> equation E

y=54-17=$37

Find the value of w

w=z+10 -----> equation B

w=54+10=$64

therefore

Steve has $16

Tricia has $37

Bill has $54

and Jane has $64

User Boris Stitnicky
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