Anthony has 260 cars and sells them at a rate of 5 cards a day. Ben has 100 cards and buys them at a rate of 3 cards per day. After how many days will they have the same number of cards

After 20 days, they will have the same number of cards

Step-by-step explanation:

Given;

number of cards with Anthony, = 260 cards

rate of his sale = 5 cards/day

number of cards with Ben, = 100 cards

rate of his purchase, = 3 cards/day

let the number of days when they will have the same number of card = n

set up the linear equation, consider sale as subtraction from the initial value and also consider purchase as an addition to the initial value.

260 - 5n = 100 + 3n

260 -100 = 3n + 5n

160 = 8n

n = 160 / 8

n = 20 days

Therefore, after 20 days, they will have the same number of cards

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.