Name: Stephan
Who is asking: Student
Level: Secondary

Question:
$100 is split between four guys. A,B, C, and D. How much money does if person get if B has four more dollars than A, C has 8 more dollars than B, and D has twice as much money as C?



Hi Stephan,

Suppose that A has a dollars, B has b dollars, C has c dollard and D has d dollars. There are five facts given.

$100 is split between four guys.

a + b + c + d = 100 B has four more dollars than A b = a + 4 C has 8 more dollars than B c = b + 8 D has twice as much money as C d = 2c

Now, working from the bottom up, substitute the latter three euqations into the first. d = 2c and hence

100 = a + b + c + d = a + b + c + 2c = a + b + 3c c = b + 8 and hence 100 = a + b + 3c = a + b + 3(b + 8) = a + 4b + 24

Finally substitute b = a + 4 and solve for a.

Penny

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