Question

1. at a dodger game, one father purchased 4 hot dogs and 5 nachos for $40.25 for his family. another father purchased 3 hot dogs and 3 nachos for $27.00 for his family. how much did it cost for one hot dog?

Explanation:

Step1: Define variables

Let $h$ = cost of 1 hot dog, $n$ = cost of 1 nacho.

Step2: Set up equations

$$4h + 5n = 40.25$$
$$3h + 3n = 27.00$$

Step3: Simplify second equation

Divide the second equation by 3:
$$h + n = 9$$
Rearrange to $n = 9 - h$

Step4: Substitute $n$ into first equation

$$4h + 5(9 - h) = 40.25$$

Step5: Solve for $h$

$$4h + 45 - 5h = 40.25$$
$$-h = 40.25 - 45$$
$$-h = -4.75$$
$$h = 4.75$$

Answer:

The cost of one hot dog is $\$4.75$