Lee had some cranberry puffs and apricot puffs. ⁵₉ of the number of cranberry puffs was equal to ¹₆ of the number of apricot puffs. After Lee made 150 more cranberry puffs, the number of cranberry puffs was ⁴₅ of the number of apricot puffs. How many puffs did he have altogether in the end?
Make the numerators the same. LCM of 5 and 1 is 5.

59 of cranberry puffs = 1x56x5 of apricot puffs

⁵₉ of cranberry puffs = ⁵₃₀ of apricot puffs

	Cranberry puffs	Apricot puffs	Total
Before	9 u	30 u
Change	+ 150
After	4x6 = 24 u	5x6 = 30 u	54 u

The number of apricot puffs remains unchanged.  Make the number of apricot puffs the same.  LCM of 5 and 30 is 30.

Number of more cranberry puffs made
= 24 u - 9 u
= 15 u

15 u = 150

1 u = 150 ÷ 15 = 10

Number of puffs that Lee had in the end
= 24 u + 30 u
= 54 u
= 54 x 10
= 540

Answer(s): 540