algebra word problem?

Question

Sally bought 3 candy bars and a 1 pack of gum for $1.75. Jake bought 2 candy bars and 4 packs of gum for $2.00. Find the cost of a chocolate bar and the cost of a pack of gum.

Answer 1

x=candy bars
y=gum

3x+y=1.75----->y=1.75-3x
2x+4y=2

2x+4(1.75-3x)=2

2x+7-12x=2

-10x=-5

x= .5
-----------------------
2(.5)+4y=2

4y=1
y=.25

chocolate bar = 50cents
gum=25 cents

Answer 2

c = cost of candy bar
g = cost of pack of gum

3c + 1g = 1.75
2c + 4g = 2.00

Multiply (3c + 1g = 1.75) by 4 on each side to get
12c + 4g = 7.00
Subtract (2c + 4g = 2.00) from this
to get 10c = 5.00, meaning c = .50
Then substitute in (3c + g = 1.75)
To get 3*.50 + g = 1.75, meaning 1.50 + g = 1.75 and so
g = .25

Candy bar is 50 cents and pack of gum is 25 cents.

Answer 3

c = cost of candy bar
g = cost of pack of gum

You have a system of equations:
3c + g = 1.75
2c + 4g = 2

To solve by hand, multiply the entire top equation by -4. You will see in a second. You end up getting.

-12c - 4g = -7
2c + 4g = 2

Now add the equations together. You will eliminate the equations and get:

-10c = -5

Divide by -10 on both sides...

c = $0.50

Now plug the $0.50 into one of the equations. I'll use the second one because it looks easier.

2(0.5) + 4g = 2
1 + 4g = 2
4g = 1
g = $0.25

So...
c = $0.50
g = $0.25

Answer 4

c = candy bar
g = gum
3c+g = 175
2c+4g = 200

4(3c+g) = 4(175)
2c+4g = 200

12c+4g = 700
2c+4g = 200

10c = 500
c= 50

3(50)+g = 175
g=25

A candy bar costs $0.50 and a pack of gum costs $0.25

Answer 5

c =Chocolate bar
g = pack of gum
3c + g = 1.75
2c + 4g = 2
Multiply everything on the top equation by -4.
-12c - 4g = -7
2c + 4g = 2
Add equations
-10c = -5
c = 0.5
Subsitute c into one of the original equations
2(0.5) + 4g = 2
solve
1 + 4g = 2
4g = 1
g = 0.25
Chocolate bar is 50 cents
Pack of gum is 25 cents

Answer 6

a candybar cost 50 cents and a pack of gum cost 25 cents

if you want to no how to do it, email me and i'll explain it.

Answer 7

let candy bars = x
let gum = y

3x + y = 1.75-----------------Equation 1
2x + 4y = 2.00---------------Equation 2

y = 1.75 - 3x------------------Solve for y
2x + 4(1.75 - 3x) = 2.00---Subitute y
2x + 7 -12x = 2---------------Distributive property
-10x = -5-----------------------Combine like terms
x = 1/2 or 0.5
3x + y = 1.75------------------Equation 1
3(.5) + y = 1.75---------------Substitute x
1.5 + y = 1.75-----------------Distribute
y = .25

so:
x (candy bars) = .50
y (gum) = .25

Answer 8

3c+1g=175
2c+4g=200

g=175-3c

2c+4(175-3c)=200
-10c+700=200
10c=500
c=50
g=25

candy=50cents
gum=25cents