Caden had $45 more than Tiffany. After Caden spent 20% of his money and Tiffany spent 70% of her money, they still had $278 left altogether.
- How much did Caden have left in the end?
- Express the amount of money Tiffany had left as a fraction of the amount of money Caden had in the end. (Give your answer in the simplest form)
|
Caden |
Tiffany |
Before |
10 u + 45 |
10 u |
Change |
- 2 u - 9 |
- 7 u |
After |
8 u + 36 |
3 u |
20% =
20100 =
210 70% =
70100 =
710Total amount that Caden and Tiffany had in the end
= 8 u + 36 + 3 u
= 11 u + 36
11 u + 36 = 278
8 u + 3 u = 278 - 36
11 u = 242
1 u = 242 ÷ 11 = 22
Amount that Caden had in the end
= 8 u + 36
= 8 x 22 + 36
= 176 + 36
= $212
(b)
Amount that the Tiffany had in the end
= 1 u
= $22
Fraction of the amount that Tiffany had left as a fraction of the amount that Caden had in the end
=
22212=
11106 Answer(s): (a) $212; (b)
11106