please help me solve this
sally bought three cholate bars and a pack of gum and paid $1.75. Jake bought two cholate 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
Hello, lizard4!
This is a very basic problem with a system of equations.
Assuming you're new at this, I'll baby-step through it.
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 = cost of a chocolate bar.
Let = cost of a pack of bum.
Sally bought 3 chocolate bars at cents each.
. . They cost her: . cents.
She bought 1 pack of gum at cents each.
. . This cost her: . cents.
So she spent: .3C + G[/tex] cents.
. . But we are told that she spent 175 cents.
There is one equation: . .[1]
Jake bought two chocolate bars at cents each.
. . This cost him: .[ cents.
He bought 4 packs of gum at cents each.
. . This cost him: . cents.
So he spent: . cents.
. . But we are told that he spent 200 cents.
There is another equation: . .[2]
Solve the system of equations: .
Multiply [1] by -4: .
. . . . . . .Add [2]: . .
And we get: .
Substitute into [1]: .
Therefore: a chocolate bar costs 50¢ and a pack of gum costs 25¢.