Joelle had 115 more buttons than Usha. After Joelle gave away
25 of her buttons and Usha gave away
34 of her buttons, Usha had 104 less buttons than Joelle. How many buttons did Joelle have at first?
| |
Joelle |
Usha |
Comparing Joelle and
Usha at first |
115 more |
|
| Before |
5x4 |
+ 115 |
4x5 |
| Change |
- 2x4 |
- 46 |
- 3x5 |
| After |
3x4 |
+ 69 |
1x5 |
Comparing Joelle and
Usha in the end |
|
104 less |
| |
Joelle |
Usha |
| Before |
20 u + 115 |
20 u |
| Change |
- 8 u - 46 |
- 15 u |
| After |
12 u + 69 |
5 u |
25 x 115 = 46
115 - 46 = 69
Usha had 104 less buttons than Joelle in the end. So, if Usha had another 104 buttons in the end, the number of buttons that Usha and Joelle each had would be the same.
12 u + 69 = 5 u + 104
12 u - 5 u = 104 - 69
7 u = 35
1 u = 35 ÷ 7 = 5
Number of buttons that Joelle had at first
= 20 u + 115
= 20 x 5 + 115
= 100 + 115
= 215
Answer(s): 215
