Vaidev had some vanilla tarts and blueberry tarts. He gave away 152 tarts to his sister. 25% of them were vanilla tarts and the rest were blueberry tarts.

1. How many blueberry tarts did he give his sister?
2. Vaidev gave some vanilla tarts to his brother. ⁵₇ of all the tarts he gave away to his sister and his brother were vanilla tarts. How many vanilla tarts did he give his brother?

(a)
Percentage of blueberry tarts
= 100% - 25%
= 75%

Number of blueberry tarts that Vaidev gave to his sister
= 75% x 152
= ⁷⁵₁₀₀ x 152
= 114 

(b)
Fraction of all the tarts he gave away to his sister and his brother that were blueberry tarts
= 1 - ⁵₇
= ²₇

2 u = 114

1 u = 114 ÷ 2 = 57

Number of vanilla tarts that Vaidev gave to his sister and his brother
= 5 u
= 5 x 57
= 285

Number of vanilla tarts that Vaidev gave to his sister
= 152 - 114
= 38

Number of vanilla tarts that Vaidev gave to his brother
= 285 - 38
= 247

Answer(s): (a) 114; (b) 247