Question

Star bicycles had produced 3000 bicycles and were producing 200 more per week. Prince bicycles had produced 2500 bicycles and were producing 300 more each week. After how many weeks would they have produced the same number of bicycles?

Answer 1

To find out after how many weeks Star bicycles and Prince bicycles would have produced the same number of bicycles, you need to set up an equation and solve for the number of weeks. After 5 weeks, Star bicycles and Prince bicycles would have produced the same number of bicycles.

Step-by-step explanation:

To find out after how many weeks Star bicycles and Prince bicycles would have produced the same number of bicycles, we need to set up an equation.

Let's assume the number of weeks be represented by 'w'.

The total number of bicycles produced by Star bicycles after 'w' weeks can be represented by the equation: 3000 + 200w.

The total number of bicycles produced by Prince bicycles after 'w' weeks can be represented by the equation: 2500 + 300w.

Now, we need to solve the equation: 3000 + 200w = 2500 + 300w to find the value of 'w' where the two companies produce the same number of bicycles. We can subtract 2500 from both sides and subtract 200w from both sides to get: 500 = 100w. Therefore, w = 5.

After 5 weeks, Star bicycles and Prince bicycles would have produced the same number of bicycles.