Question

Travis is at the state fair. A fair concession stand is selling hot dogs for $1.50 and hamburgers for $2.00. Write an equation in standard form to find the number of x hot dogs and y hamburgers if Travis spends $30.00.

Answer 1

The equation in standard form for the number of hot dogs (x) and hamburgers (y) Travis can purchase with $30.00, given the costs of $1.50 for hot dogs and $2.00 for hamburgers, is 3x + 4y = 60.

Step-by-step explanation:

To write an equation in standard form for the number of hot dogs (x) and hamburgers (y) Travis can purchase with $30.00 at the state fair, we need to consider the individual costs of the items. Hot dogs cost $1.50 each, and hamburgers cost $2.00 each. If Travis spends all his money on these two types of food, the total cost is the sum of the cost of hot dogs and the cost of hamburgers.

Therefore, the equation reflecting this scenario with Travis' budget constraint would be:

1.50x + 2.00y = 30.00

We want this equation in standard form, which is Ax + By = C, where A, B, and C are integers, and A should be non-negative. Multiplying everything by 2 to eliminate decimals, we get:

3x + 4y = 60

This is the equation in standard form that represents the number of hot dogs and hamburgers Travis can buy with $30.00.