Joelle had 108 more buttons than Mary. After Joelle gave away
14 of her buttons and Mary gave away
25 of her buttons, Mary had 117 less buttons than Joelle. How many buttons did Joelle have in the end?
| |
Joelle |
Mary |
Comparing Joelle and
Mary in the end |
108 more |
|
| Before |
4x5 |
+ 108 |
5x4 |
| Change |
- 1x5 |
- 27 |
- 2x4 |
| After |
3x5 |
+ 81 |
3x4 |
Comparing Joelle and
Mary in the end |
|
117 less |
| |
Joelle |
Mary |
| Before |
20 u + 108 |
20 u |
| Change |
- 5 u - 27 |
- 8 u |
| After |
15 u + 81 |
12 u |
14 x 108 = 27
108 - 27 = 81
Mary had 117 less buttons than Joelle in the end. So, if Mary had another 117 buttons in the end, the number of buttons that Mary and Joelle each had would be the same.
15 u + 81 = 12 u + 117
15 u - 12 u = 117 - 81
3 u = 36
1 u = 36 ÷ 3 = 12
Number of buttons that Joelle had in the end
= 15 u + 81
= 15 x 12 + 81
= 180 + 81
= 261
Answer(s): 261
