Linda and Raeann collected buttons. Linda gave 30% of her buttons to Raeann. As a result, Raeann's buttons increased by 70%. If Linda had 539 buttons left, find the total number of buttons the two girls had at first.
| |
Linda |
Raeann |
Comparing the change
in Raeann's buttons |
| Before |
10x7 =
70 u |
|
10x3 =
30 u |
| Change |
- 3x7 =
- 21 u |
+ 3x7 =
+ 21 u |
+ 7x3 =
+ 21 u |
| After |
7x7 =
49 u |
|
17x3 =
51 u |
30% =
30100 =
310 70% =
70100 =
710 The number of buttons that Linda gave to Raeann is repeated. Make the number of buttons that Linda gave to Raeann the same. LCM of 3 and 7 is 21.
Number of buttons that Linda had in the end = 49 u
49 u = 539
1 u = 539 ÷ 49 = 11
Number of buttons that Linda and Raeann had at first
= 70 u + 30 u
= 100 u
= 100 x 11
= 1100
Answer(s): 1100
