Two families visited an amusement park. The first family bought 4 hot dogs and 6 bottles of waters, which totaled $22. The second family bought 8 hot dogs and 3 bottles of waters, which totaled $35. How much did one hot dog cost?
Let's use "h" to represent the cost of one hot dog.
And let's use "w" to represent the cost of one bottle of water.
From the problem, we know:
4h + 6w = 22 (equation 1)
8h + 3w = 35 (equation 2)
We want to find the value of "h", so let's solve for "w" in equation 1:
6w = 22 - 4h
w = (22 - 4h)/6
w = (11 - 2h)/3 (divided both sides by 2)
Now we can substitute this expression for "w" into equation 2:
8h + 3(11 - 2h)/3 = 35
8h + 11 - 2h = 35
6h = 24
h = 4
Therefore, one hot dog costs $4.
To find the cost of one hot dog, we need to set up a system of equations based on the information given. Let's assign variables to the unknowns:
Let's call the cost of one hot dog "H" and the cost of one bottle of water "W".
From the information given, we can set up the following equations:
Equation 1: 4H + 6W = 22 (First family's purchases)
Equation 2: 8H + 3W = 35 (Second family's purchases)
Now we can solve this system of equations to find the values of "H" and "W".