simultaneous equations

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simultaneous equations

by light_speed » Fri Nov 21, 2008 2:07 pm
. At a certain diner, a hamburger and coleslaw cost $3.59, and a hamburger and french fries cost $4.40. If french fries cost twice as much as coleslaw, how much do french fries cost?
(A) $0.30
(B) $0.45
(C) $0.60
(D) $0.75
(E) $0.90

official answer is E but can't figure the answer out.

My equations set up were

h=hamburger
c=coleslaw
f=French fries

h+c=3.59
h+f=4.40
f=2c

multiply the 1st equation by -1 to get rid of the h
we then get f-c= .81 therefore f=.81+c

substitute for f in 3rd equation
.81+c=2c
.81=c
f=2..81
=1.62
Source: — Problem Solving |

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by mals24 » Fri Nov 21, 2008 2:18 pm
Even I'm getting 1.62. Are you sure this time you din't make a mistake in typing the options or anything. :?

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by cramya » Fri Nov 21, 2008 2:24 pm
Choice E) is $1.62

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by light_speed » Fri Nov 21, 2008 2:29 pm
looks like the answers given don't add up, so i'm guessing the publisher made the mistake here. thanks

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by jnellaz » Fri Nov 21, 2008 2:52 pm
https://www.takegmat.com/index.php/if-fr ... -coleslaw/

Here are the correct answer choices. The answer is E) 1.62