Question

Please give a proper explanation.

A book store carries 41 Ocean calendars and 48 Space calendars. Every day, the store sells 3 Ocean calendars and 4 Space calendars.

After how many days there are the same number of both calendars left in the store?

Answer 1

After 7 days there are the same number of both calendars left in the store

Explanation:

Let x be defined by the number of days,

41 total, 3 Ocean calendars sell each day

48 total, 4 Space calendars sell each day

expression: 41 - 3x = 48 - 4x

- we set them equal to find when x amount days are the same for both calendars

- we subtract due to selling each calendars

solving:

41 - 3x = 48 - 4x

add 4x to both sides, trying to get like terms on the same side

41 - 3x + 4x = 48 - 4x + 4x

41 + x = 48

now subtracts 41 from both sides to get x alone

41 - 41 + x = 48 - 41

x = 7