Lynn and Opal collected buttons. Opal gave 75% of her buttons to Lynn. As a result, Lynn's buttons increased by 10%. If Lynn had 99 buttons left, find the total number of buttons the two girls had at first.
| |
Comparing the change
in Opal's buttons |
Opal |
Lynn |
| Before |
4x1 =
4 u |
|
10x3 =
30 u |
| Change |
- 3x1 =
- 3 u |
- 1x3 =
- 3 u |
+ 1x3 =
+ 3 u |
| After |
1x1 =
1 u |
|
11x3 =
33 u |
75% =
75100 =
34 10% =
10100 =
110 The number of buttons that Lynn gave to Opal is repeated. Make the number of buttons that Lynn gave to Opal the same. LCM of 1 and 3 is 3.
Number of buttons that Lynn had in the end = 33 u
33 u = 99
1 u = 99 ÷ 33 = 3
Number of buttons that Opal and Lynn had at first
= 4 u + 30 u
= 34 u
= 34 x 3
= 102
Answer(s): 102
