Hello Trickstwin,
How are you doing? Referring to your question, of course, we see that the painter paints half a room in half a day. We want to find the base of this operation. So, we have to figure out how many rooms he paints in
one full day. If he paint half a room in half a day, he then must paint a room in one whole day. So we know the following:

Which leads on. We multiply that one day by seven, and funny enough:
1 x 7 = 7 which means his guess is reasonable. Do you get what I am saying? If so, your answer is True, have a great day!Thank you,
Darian D.