SOLUTION: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of the chocolate bar and the

Question 68125: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of the chocolate bar and the cost of a pack of gum.
I am a bit confused on this can someone help with this. Thanks
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=cost of Chocolate bars
And y=cost of gum
3x+y=$1.75--------------------eq (1)
2x+4y=$2.00-------------------eq (2)
From eq (1), we see that y=1.75-3x; substitute this into (2)
2x+4($1.75-3x)=$2.00 clear parens
2x+$7.00-12x=$2.00 subtract 7.00 from both sides:
-10x=-$7.00+$2.00
-10x=-$5.00
x=$0.50-------------cost of Chocolate bars
substitute x=$0.50 into eq (1):
3($0.50)+y=$1.75
$1.50+y=$1.75 subtract $1.50 from both sides:
y=$0.25-----------------------------------------cost of gum
ck
3($0.50)+$0.25=$1.75
$1.75=$1.75
and
2($0.50)+4($0.25)=$2.00
$1.00+$1.00=$2.00
$2.00=$2.00

Hope this helps-----ptaylor

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