Hilda had 50 more buttons than Jade. After Jade gave away
13 of her buttons, Hilda had four times as many buttons as Jade. How many buttons did Jade have at first?
| |
Hilda |
Jade |
Comparing Hilda and
Jade at first |
50 more |
|
| Before |
8 u |
3 u |
| Change |
|
- 1 u |
| After |
8 u |
2 u |
Comparing Hilda and
Jade in the end |
4x2 =
8 u |
1x2 =
2 u |
Number of buttons that Jade had in the end is repeated. Make the number of buttons that Jade had in the end the same. LCM of 1 and 2 is 2.
Number of buttons that Hilda had at first = 8 u
Number of buttons that Hilda had more than Jade at first
= 8 u - 3 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Number of buttons that Jade had at first
= 3 u
= 3 x 10
= 30
Answer(s): 30
