Tiffany and Diana collected marbles. Tiffany gave 40% of her marbles to Diana. As a result, Diana's marbles increased by 75%. If Tiffany had 27 marbles left, find the total number of marbles the two girls had at first.
| |
Tiffany |
Diana |
Comparing the change
in Diana's marbles |
| Before |
5x3 =
15 u |
|
4x2 =
8 u |
| Change |
- 2x3 =
- 6 u |
+ 2x3 =
+ 6 u |
+ 3x2 =
+ 6 u |
| After |
3x3 =
9 u |
|
7x2 =
14 u |
40% =
40100 =
25 75% =
75100 =
34 The number of marbles that Tiffany gave to Diana is repeated. Make the number of marbles that Tiffany gave to Diana the same. LCM of 2 and 3 is 6.
Number of marbles that Tiffany had in the end = 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Number of marbles that Tiffany and Diana had at first
= 15 u + 8 u
= 23 u
= 23 x 3
= 69
Answer(s): 69
