Zane had some cheese tarts and cranberry tarts. He gave away 160 tarts to his sister. 10% of them were cheese tarts and the rest were cranberry tarts.
- How many cranberry tarts did he give his sister?
- Zane gave some cheese tarts to his cousin. 57 of all the tarts he gave away to his sister and his cousin were cheese tarts. How many cheese tarts did he give his cousin?
(a)
Percentage of cranberry tarts
= 100% - 10%
= 90%
Number of cranberry tarts that Zane gave to his sister
= 90% x 160
=
90100 x 160
= 144
(b)
Fraction of all the tarts he gave away to his sister and his cousin that were cranberry tarts
= 1 -
57=
272 u = 144
1 u = 144 ÷ 2 = 72
Number of cheese tarts that Zane gave to his sister and his cousin
= 5 u
= 5 x 72
= 360
Number of cheese tarts that Zane gave to his sister
= 160 - 144
= 16
Number of cheese tarts that Zane gave to his cousin
= 360 - 16
= 344
Answer(s): (a) 144; (b) 344