Jean had 120 more buttons than Jane. After Jean gave away
14 of her buttons and Jane gave away
25 of her buttons, Jane had 108 less buttons than Jean. How many buttons did Jean have at first?
| |
Jean |
Jane |
Comparing Jean and
Jane at first |
120 more |
|
| Before |
4x5 |
+ 120 |
5x4 |
| Change |
- 1x5 |
- 30 |
- 2x4 |
| After |
3x5 |
+ 90 |
3x4 |
Comparing Jean and
Jane in the end |
|
108 less |
| |
Jean |
Jane |
| Before |
20 u + 120 |
20 u |
| Change |
- 5 u - 30 |
- 8 u |
| After |
15 u + 90 |
12 u |
14 x 120 = 30
120 - 30 = 90
Jane had 108 less buttons than Jean in the end. So, if Jane had another 108 buttons in the end, the number of buttons that Jane and Jean each had would be the same.
15 u + 90 = 12 u + 108
15 u - 12 u = 108 - 90
3 u = 18
1 u = 18 ÷ 3 = 6
Number of buttons that Jean had at first
= 20 u + 120
= 20 x 6 + 120
= 120 + 120
= 240
Answer(s): 240
