Question

Fariza gave .3 of her flowers to her sister, 4/7 of the remainder to her brother. Fariza remained with 45 flowers.

a) Calculate the percentage of flowers Fariza kept for herself.

b) How many flowers Fariza had at the begining?

c) Calculate how many more flowers her brother received than her sister.

Answer 1

After giving .3x of the flowers to her sister
Fariza has .7x of them left over
giving (4/7) to her brother leaves her with
(3/7)(.7x)

(3/7)(.7x) = 45
.3x = 45
x = 150

she kept 45/150 or 30% of them for herself
She had 150 of them
the sister got (.3)(150) or 45
the brother got (4/7)(105) or 60