Xylia had 150 more buttons than Diana. After Xylia gave away
15 of her buttons and Diana gave away
13 of her buttons, Diana had 140 less buttons than Xylia. How many buttons did Xylia have at first?
| |
Xylia |
Diana |
Comparing Xylia and
Diana at first |
150 more |
|
| Before |
5x3 |
+ 150 |
3x5 |
| Change |
- 1x3 |
- 30 |
- 1x5 |
| After |
4x3 |
+ 120 |
2x5 |
Comparing Xylia and
Diana in the end |
|
140 less |
| |
Xylia |
Diana |
| Before |
15 u + 150 |
15 u |
| Change |
- 3 u - 30 |
- 5 u |
| After |
12 u + 120 |
10 u |
15 x 150 = 30
150 - 30 = 120
Diana had 140 less buttons than Xylia in the end. So, if Diana had another 140 buttons in the end, the number of buttons that Diana and Xylia each had would be the same.
12 u + 120 = 10 u + 140
12 u - 10 u = 140 - 120
2 u = 20
1 u = 20 ÷ 2 = 10
Number of buttons that Xylia had at first
= 15 u + 150
= 15 x 10 + 150
= 150 + 150
= 300
Answer(s): 300
