A vendor sells hot dogs, chips, and drinks. a customer buys 2 hot dogs, 5 chips, and 2 drinks for 10.50. the price of 1 hot dog is $0.50 more than price of 1 chips. 1 drink is $1.75 less than the price of 2 hot dogs. How do you find the cost of each item?

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Answer 1 · 2015-09-28T16:30:06

I found:
hot dogs: #1.5#
chips: #$1#
drinks: #$1.25#

Call the prices of hot dogs #h#. chips #c# and drinks #d#; so:
#{(2h+5c+2d=10.50),(h=c+0.5),(d=2h-1.75):}#

use the last two into the first:

#2(c+0.5)+5c+2[2(c+0.5)-1.75]=10.5#
#2c+1+5c+2[2c+1-1.75]=10.5#
#7c+1+4c-1.5=10.5#
#11c=11#
#c=11/11=$1#

into the second equation:
#h=1+0.5=$1.5#

and into the third:
#d=2*1.5-1.75=$1.25#