SOLUTION: 9. 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 a chocolate bar and t

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: 9. 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 a chocolate bar and t      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 56767: 9. 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 a chocolate bar and the cost of a pack of gum.
Thank you very much for all you do to help those who struggle!
Found 3 solutions by checkley71, funmath, stanbon:
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
3C+G=150
2C+4G=200 NOW MULTIPLY EQ #1 BY -4 & ADD THE 2 EQ.
-12C-4G=-600
-----------------------------
-10C=-400
C=-400/-10
C=40 OR $.40 FOR THE CANDY BAR.
3*40+G=150
120+G=150
G=150-120
G=30 OR $.30 FOR THE GUM.
PROOF
2*40+4*30=200
80+120=200
200=200

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
9. 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 $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.
Let the price of the chocolate be:x
Let the price of the gum be:y
Then Sally's equation is:
3x+y=1.75
Jake's equation is:
2x+4y=2.00
Solve Sally's equation for y and substitute that into Jake's equation and solve for x:
3x+y=1.75
-3x+3x+y=1.75-3x
y=1.75-3x
2x%2B4%2Ahighlight%281.75-3x%29=2.00
2x%2B7-12x=2
-10x%2B7=2
-10x%2B7-7=2-7
-10x=-5
-10x%2F-10=-5%2F-10
x=.50
Substitute that itnto Sally's equation for x and solve for y:
3%2Ahighlight%28.50%29%2By=1.75
1.50%2By=1.75
-1.50%2B1.50%2By=1.75-1.50
y=.25
The chocolate cost x=$.50 and the gum cost y=$.25
Happy Calculating!!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
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 a chocolate bar and the cost of a pack of gum.
--------------
Let chocolate bar cost "c" and gum cost "g", then:
1st: 3c+g=175 cents
2nd: 2c+4g=200
Multiply 1st by 4 to get:
3rd: 12c+4g=700
Subtract 2nd from 3rd to get:
4th: 10c=500
c=50 cents (cost of chocolate bar)
Substitute into 2nd to solve for "g", as follows:
2(50)+4g=200
4g=100
g=25 cens (cost of gum)
Cheers,
Stan H.