Wendy had 150 more buttons than Barbara. After Wendy gave away
15 of her buttons and Barbara gave away
34 of her buttons, Barbara had 197 less buttons than Wendy. How many buttons did Wendy have at first?
| |
Wendy |
Barbara |
Comparing Wendy and
Barbara at first |
150 more |
|
| Before |
5x4 |
+ 150 |
4x5 |
| Change |
- 1x4 |
- 30 |
- 3x5 |
| After |
4x4 |
+ 120 |
1x5 |
Comparing Wendy and
Barbara in the end |
|
197 less |
| |
Wendy |
Barbara |
| Before |
20 u + 150 |
20 u |
| Change |
- 4 u - 30 |
- 15 u |
| After |
16 u + 120 |
5 u |
15 x 150 = 30
150 - 30 = 120
Barbara had 197 less buttons than Wendy in the end. So, if Barbara had another 197 buttons in the end, the number of buttons that Barbara and Wendy each had would be the same.
16 u + 120 = 5 u + 197
16 u - 5 u = 197 - 120
11 u = 77
1 u = 77 ÷ 11 = 7
Number of buttons that Wendy had at first
= 20 u + 150
= 20 x 7 + 150
= 140 + 150
= 290
Answer(s): 290
