Hazel and Tiffany collected buttons. Hazel gave 40% of her buttons to Tiffany. As a result, Tiffany's buttons increased by 70%. If Hazel had 105 buttons left, find the total number of buttons the two girls had at first.
| |
Hazel |
Tiffany |
Comparing the change
in Tiffany's buttons |
| Before |
5x7 =
35 u |
|
10x2 =
20 u |
| Change |
- 2x7 =
- 14 u |
+ 2x7 =
+ 14 u |
+ 7x2 =
+ 14 u |
| After |
3x7 =
21 u |
|
17x2 =
34 u |
40% =
40100 =
25 70% =
70100 =
710 The number of buttons that Hazel gave to Tiffany is repeated. Make the number of buttons that Hazel gave to Tiffany the same. LCM of 2 and 7 is 14.
Number of buttons that Hazel had in the end = 21 u
21 u = 105
1 u = 105 ÷ 21 = 5
Number of buttons that Hazel and Tiffany had at first
= 35 u + 20 u
= 55 u
= 55 x 5
= 275
Answer(s): 275
