you can use ratios here. the first ratio is:
1.5 pounds = 225 cookies
the second ratio is:
1 pound = x cookies
so we can divide both sides by whatever is easier to multiply by
(1.5lbs) / (225)cookies = 1
(1lbs) / (x cookies) = 1
since they are both equal to 1 we can set them equal to eachother
1.5lbs / 225 cookies = 1lbs \ x cookies
cross multiply
1.5lbs * x = 225(lbs *cookies)
x = 150 cookies
so the answer is 150 cookies
there is actually a short cut for this too. i see that the 1.5 lbs and the 1 lbs have a common factor of .5 lbs
i then see that 1.5lbs is 3 * .5lbs and 1lbs is 2 * .5lbs
so if we look at the 3 times .5 goes into 1.5 we can divide 1.5lbs by 3 to get the 0.5lbs
225/3 = 75
now we see there are two 0.5lbs in 1lbs needed for final answer
.5lbs = 75 cookies
so we can multiply the 0.5lbs value by 2 and get the answer which is the same as above. 150 cookies
75 cookies * 2 = 150 cookies