# SOLUTION: Sally bought three chocolate bars and a pack of gum ad 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

Algebra ->  -> SOLUTION: Sally bought three chocolate bars and a pack of gum ad 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       Log On

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 Click here to see ALL problems on Graphs Question 49339: Sally bought three chocolate bars and a pack of gum ad 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.Answer by mszlmb(115)   (Show Source): You can put this solution on YOUR website!```Sally bought three chocolate bars and a pack of gum ad paid 1.75. Jake boughttwo 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. 3C+G=1.75 2C+4G=2 -3c on the first equation G=1.75-3C Replace G in the second equation with its equivalent, 1.75-3C 2C+4(1.75-3C)=2 SIMPLIFY by DISTRIBUTION 2C+7.00-12C=2 -7.00 BOTH SIDES -10C=-5 divide by -10, both sides C=.50 A chocolate bar costs 50 cents, or \$.50 Now plug C in to the second equation 2(.5)+4G=2 Simplify 1+4G=2 -1 both sides 4G=1 divide by 4 G=.25 A pack of gum costs 25 cents, or \$.25 The answers: A chocolate bar costs \$0.50 A pack of gum costs \$0.25 ```