Jane had 40 more buttons than Gem. After Jane gave away
35 of her buttons and Gem gave away
34 of her buttons, Gem had 28 less buttons than Jane. How many buttons did Jane have in the end?
| |
Jane |
Gem |
Comparing Jane and
Gem in the end |
40 more |
|
| Before |
5x4 |
+ 40 |
4x5 |
| Change |
- 3x4 |
- 24 |
- 3x5 |
| After |
2x4 |
+ 16 |
1x5 |
Comparing Jane and
Gem in the end |
|
28 less |
| |
Jane |
Gem |
| Before |
20 u + 40 |
20 u |
| Change |
- 12 u - 24 |
- 15 u |
| After |
8 u + 16 |
5 u |
35 x 40 = 24
40 - 24 = 16
Gem had 28 less buttons than Jane in the end. So, if Gem had another 28 buttons in the end, the number of buttons that Gem and Jane each had would be the same.
8 u + 16 = 5 u + 28
8 u - 5 u = 28 - 16
3 u = 12
1 u = 12 ÷ 3 = 4
Number of buttons that Jane had in the end
= 8 u + 16
= 8 x 4 + 16
= 32 + 16
= 48
Answer(s): 48
