Tina had 90% as many lollipops as Tiffany. Tina gave away 10% of her lollipops and Tiffany bought another 105 lollipops. As a result, Tina now has 60% as many lollipops as Tiffany. Find the number of lollipops that Tina had in the end.
| |
Tina |
Tiffany |
| Before |
9x3 |
10x3 |
| Change |
- 0.9x3 |
+ 105 |
| After |
8.1x3 |
10x3 + 105 |
Comparing Tina and
Tiffany in the end |
3x8.1 |
5x8.1 |
| |
Tina |
Tiffany |
| Before |
27 u |
30 u |
| Change |
- 2.7 u |
+ 105 |
After
|
24.3 u
|
30 u + 105 =
40.5 u |
90% =
90100 =
91010% x 9
=
10100 x 9
= 0.9
60% =
60100 =
35The number of lollipops that Tina had in the end is repeated.
Make the number of lollipops that Tina had in the end the same.
The number of lollipops that Tiffany had in the end is repeated.
30 u + 105 = 40.5 u
40.5 u - 30 u = 105
10.5 u = 105
1 u = 105 ÷ 10.5 = 10
Number of lollipops that Tina had in the end
= 24.3 u
= 24.3 x 10
= 243
Answer: 243
