At the state fair, you purchase 2 hot dogs and a bag of chips for $3.75. Your friend purchases 3 hot dogs and 2 bags of chips for $6.00. How much was each item?

The cost of a hot dog = $1.5 and cost of each chips pack = $0.75

Step-by-step explanation:

Given,

2 hot dogs + a chips cost = $3.75

3 hot dogs + 2 chips pack cost = $6.00

To find, the cost of each hot dog and each packet of chips

Let us take,

Cost of a hot dog = x

Cost of each chips pack = y

According to the problem,

2x+y = 3.75 eq 1

3x+2y = 6 eq 2

4x + 2y = 7.5 [ multipling eq1 by 2] eq3

Now, subtracting eq2 from eq3 we get,

(4x+2y)-(3x+2y) = 7.5 - 6

or, x = 1.5

Putting the value of x = 1.5 in eq 1 we get,

y = 3.75 - 3 = 0.75

Hence, cost of a hot dog = $1.5 and

Cost of each chips pack = $0.75

slope is 35 and 20 miles is the y-intercept.

step-by-step explanation:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15