Question

The fire department reports that 2 out of every 25 fireworks are faulty. If the City of Dallas used 500 fireworks for their New Year’s Celebration, how many of those fireworks were faulty?

a) 20 faulty fireworks
b) 50 faulty fireworks
c) 40 faulty fireworks
d) 80 faulty fireworks

Answer 1

To find the expected number of faulty fireworks in a display of 500, we use the given ratio of 2 faulty fireworks per 25. By setting up a proportion and solving for x, we discover that there are 40 faulty fireworks expected in a display of 500.

Step-by-step explanation:

To determine how many faulty fireworks were present in the City of Dallas Celebration, we use the proportion given by the fire department. The fire department states that there are 2 faulty fireworks out of every 25. To find the number of faulty fireworks in 500, we set up a proportional relationship.

1. First, we write the ratio of faulty fireworks to total fireworks as 2/25.
2. Next, we set this ratio equal to the ratio of faulty fireworks to the total used in the celebration: (x faulty fireworks)/(500 total fireworks).
3. The proportion is then 2/25 = x/500.
4. To solve for x, we cross-multiply: (2)(500) = (25)(x).
5. This gives us 1000 = 25x.
6. Dividing both sides by 25, we find x = 1000/25 = 40.

Thus, the answer is c) 40 faulty fireworks.