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Simone saved $65.35 more than her brother Dan and $37.50 less than her sister Carly. Carly saved $127.75. Write and solve equations to find how much money Simone and Dan saved.

Sagot :

Siamone has $65.32 + DAN 
Dan has CARLY - $37.50
CARLY = $127.75 
Plug Carly into Dan's equation... 
$127.75 - $37.50 = $90.20
DAN = $90.20
Plug Dan into Siamone's equation
$65.32 + $90.20 = $155.57

Answer:

Let x be the amount ( in dollars ) saved by Dan,

∵ Simone saved $65.35 more than her brother Dan,

∴ Amount saved by Simon = x + 65.35 ,

Now, Simon saved $37.50 less than her sister Carly,

⇒ amount saved by Carly - 37.50 = x + 65.35

⇒ Amount saved by Carly = x + 102.85

According to the question,

x + 102.85 = 127.75

Which is the required equation,

Subtract 102.85 both sides,

x = 24.9

Hence, Simon's saving = 24.9 + 65.35 = $ 90.25

While, Dan's saving = $ 24.9.