Zara had 99 more buttons than Olivia. After Olivia gave away
15 of her buttons, Zara had twice as many buttons as Olivia. How many buttons did Olivia have at first?
| |
Zara |
Olivia |
Comparing Zara
and Olivia at first |
99 more |
|
| Before |
8 u |
5 u |
| Change |
|
- 1 u |
| After |
|
4 u |
Comparing Zara
and Olivia in the end |
2x4 =
8 u |
1x4 =
4 u |
The number of buttons that Zara had at first and in the end remains unchanged. Make the number of buttons that Zara had the same. LCM of 8 and 2 is 8.
Number of buttons that Zara had more than Olivia at first
= 8 u - 5 u
= 3 u
3 u = 99
1 u = 99 ÷ 3 = 33
Number of buttons that Olivia had at first
= 5 u
= 5 x 33
= 165
Answer(s): 165
