Fabian had some blueberry doughnuts and cheese doughnuts. He gave away 165 doughnuts to his brother. 40% of them were blueberry doughnuts and the rest were cheese doughnuts.

1. How many cheese doughnuts did he give his brother?
2. Fabian gave some blueberry doughnuts to his cousin. ⁴₇ of all the doughnuts he gave away to his brother and his cousin were blueberry doughnuts. How many blueberry doughnuts did he give his cousin?

(a)
Percentage of cheese doughnuts
= 100% - 40%
= 60%

Number of cheese doughnuts that Fabian gave to his brother
= 60% x 165
= ⁶⁰₁₀₀ x 165
= 99 

(b)
Fraction of all the doughnuts he gave away to his brother and his cousin that were cheese doughnuts
= 1 - ⁴₇
= ³₇

3 u = 99

1 u = 99 ÷ 3 = 33

Number of blueberry doughnuts that Fabian gave to his brother and his cousin
= 4 u
= 4 x 33
= 132

Number of blueberry doughnuts that Fabian gave to his brother
= 165 - 99
= 66

Number of blueberry doughnuts that Fabian gave to his cousin
= 132 - 66
= 66

Answer(s): (a) 99; (b) 66