Fabian had some cranberry tarts and apricot tarts. He gave away 120 tarts to his sister. 10% of them were cranberry tarts and the rest were apricot tarts.

1. How many apricot tarts did he give his sister?
2. Fabian gave some cranberry tarts to his brother. ³₇ of all the tarts he gave away to his sister and his brother were cranberry tarts. How many cranberry tarts did he give his brother?

(a)
Percentage of apricot tarts
= 100% - 10%
= 90%

Number of apricot tarts that Fabian gave to his sister
= 90% x 120
= ⁹⁰₁₀₀ x 120
= 108 

(b)
Fraction of all the tarts he gave away to his sister and his brother that were apricot tarts
= 1 - ³₇
= ⁴₇

4 u = 108

1 u = 108 ÷ 4 = 27

Number of cranberry tarts that Fabian gave to his sister and his brother
= 3 u
= 3 x 27
= 81

Number of cranberry tarts that Fabian gave to his sister
= 120 - 108
= 12

Number of cranberry tarts that Fabian gave to his brother
= 81 - 12
= 69

Answer(s): (a) 108; (b) 69