Emma had 75 more buttons than Linda. After Emma gave away
13 of her buttons and Linda gave away
35 of her buttons, Linda had 90 less buttons than Emma. How many buttons did Emma have in the end?
| |
Emma |
Linda |
Comparing Emma and
Linda in the end |
75 more |
|
| Before |
3x5 |
+ 75 |
5x3 |
| Change |
- 1x5 |
- 25 |
- 3x3 |
| After |
2x5 |
+ 50 |
2x3 |
Comparing Emma and
Linda in the end |
|
90 less |
| |
Emma |
Linda |
| Before |
15 u + 75 |
15 u |
| Change |
- 5 u - 25 |
- 9 u |
| After |
10 u + 50 |
6 u |
13 x 75 = 25
75 - 25 = 50
Linda had 90 less buttons than Emma in the end. So, if Linda had another 90 buttons in the end, the number of buttons that Linda and Emma each had would be the same.
10 u + 50 = 6 u + 90
10 u - 6 u = 90 - 50
4 u = 40
1 u = 40 ÷ 4 = 10
Number of buttons that Emma had in the end
= 10 u + 50
= 10 x 10 + 50
= 100 + 50
= 150
Answer(s): 150
