Mrs Chye baked some cupcakes of three flavours, which were cranberry, vanilla and apricot. She baked twice as many cranberry cupcakes as vanilla cupcakes and twice as many apricot cupcakes as cranberry cupcake. Given that she baked 96 more apricot cupcakes than vanilla cupcakes, how many cupcakes did she bake?
Number of vanilla cupcakes = 1 u
Number of cranberry cupcakes = 2 u
Number of apricot cupcakes = 2 x 2 u = 4 u

Number of more apricot cupcakes than vanilla cupcakes
= 4 u - 1 u 
= 3 u

3 u = 96

1 u = 96 ÷ 3 = 32

Number of cranberry cupcakes
= 2 u
= 2 x 32
= 64

Number of apricot cupcakes
= 4 u
= 4 x 32
= 128

Total number of cupcakes that he baked
= 32 + 64 + 128
= 224

Answer(s): 224