Rachel had 36 more buttons than Jen. After Rachel gave away
14 of her buttons and Jen gave away
23 of her buttons, Jen had 62 less buttons than Rachel. How many buttons did Rachel have in the end?
| |
Rachel |
Jen |
Comparing Rachel and
Jen in the end |
36 more |
|
| Before |
4x3 |
+ 36 |
3x4 |
| Change |
- 1x3 |
- 9 |
- 2x4 |
| After |
3x3 |
+ 27 |
1x4 |
Comparing Rachel and
Jen in the end |
|
62 less |
| |
Rachel |
Jen |
| Before |
12 u + 36 |
12 u |
| Change |
- 3 u - 9 |
- 8 u |
| After |
9 u + 27 |
4 u |
14 x 36 = 9
36 - 9 = 27
Jen had 62 less buttons than Rachel in the end. So, if Jen had another 62 buttons in the end, the number of buttons that Jen and Rachel each had would be the same.
9 u + 27 = 4 u + 62
9 u - 4 u = 62 - 27
5 u = 35
1 u = 35 ÷ 5 = 7
Number of buttons that Rachel had in the end
= 9 u + 27
= 9 x 7 + 27
= 63 + 27
= 90
Answer(s): 90
