Answer: each soda costs $1.5 and each hotdog costs $3.
Step-by-step explanation:
If H is the price for one hotdog and S is the price for one soda, we have the equations:
for Jack.
3*H + 2*S = $12
For Angie.
1*H + 4*S = $9
Now we can isolate one of the variables in one of the equations and then replace it in the other equation, let's isolate H in the second equation:
H = $9 - 4*S
now we replace it in the first eq
3*H + 2*S = $12
3*($9 - 4*S) + 2*S = $12
$27 - 12*S + 2*S = $12
-10*S = $12 - $27 = -$15
S = $15/10 = $1.5
Now we can replace it in the equation for H and get:
H = $9 - 4*$1.5 = $3
So each soda costs $1.5 and each hotdog costs $3.
Answer: One hotdog cost $3 and One soda costs $1.5
Step-by-step explanation:
Let hotdogs be denoted by h
Let sodas be denoted as s
Jack bought 3 hotdogs and 2 sodas for a total of $12. This can be written as:
3h + 2s = 12
Angie bought 1 hotdog and 4 sodas for $9. This can be written as:
h + 4s = 9
3h + 2s = 12
h + 4s = 9
1 × (3h + 2s = 12)
3 × (h + 4s = 9)
3h + 2s = 12
3h + 12s = 27
Subtract the equation
-10s = -15
s = -15/-10
s = 1.5
One soda cost $1.5
Since h + 4s = 9
h + 4(1.5) = 9
h = 9 - 6
h = 3
One hotdog costs $3
