John had 25 candies and added 4 candies every week. At some point, he had 49…
2024
John had 25 candies and added 4 candies every week. At some point, he had 49 candies. How many weeks had passed?
- A.
3
- B.
4
- C.
5
- D.
6
Show answer & explanation
Correct answer: D
When a quantity increases by a fixed amount every period, the number of periods elapsed equals the total increase divided by the rate of increase: number of periods = (final value − starting value) ÷ rate per period.
Find the total increase in candies: 49 − 25 = 24.
Divide the total increase by the weekly rate of increase: 24 ÷ 4 = 6.
So 6 weeks had passed.
Check by working forward: starting from 25 candies and adding 4 candies for 6 weeks gives 25 + (4 × 6) = 25 + 24 = 49, which matches the given total, confirming 6 weeks.