Elyse had 75 more buttons than Zoe. After Elyse gave away
25 of her buttons and Zoe gave away
34 of her buttons, Zoe had 73 less buttons than Elyse. How many buttons did Elyse have at first?
| |
Elyse |
Zoe |
Comparing Elyse and
Zoe at first |
75 more |
|
| Before |
5x4 |
+ 75 |
4x5 |
| Change |
- 2x4 |
- 30 |
- 3x5 |
| After |
3x4 |
+ 45 |
1x5 |
Comparing Elyse and
Zoe in the end |
|
73 less |
| |
Elyse |
Zoe |
| Before |
20 u + 75 |
20 u |
| Change |
- 8 u - 30 |
- 15 u |
| After |
12 u + 45 |
5 u |
25 x 75 = 30
75 - 30 = 45
Zoe had 73 less buttons than Elyse in the end. So, if Zoe had another 73 buttons in the end, the number of buttons that Zoe and Elyse each had would be the same.
12 u + 45 = 5 u + 73
12 u - 5 u = 73 - 45
7 u = 28
1 u = 28 ÷ 7 = 4
Number of buttons that Elyse had at first
= 20 u + 75
= 20 x 4 + 75
= 80 + 75
= 155
Answer(s): 155
