Fiona had 56 more buttons than Jaslyn. After Fiona gave away
14 of her buttons and Jaslyn gave away
23 of her buttons, Jaslyn had 97 less buttons than Fiona. How many buttons did Fiona have at first?
| |
Fiona |
Jaslyn |
Comparing Fiona and
Jaslyn at first |
56 more |
|
| Before |
4x3 |
+ 56 |
3x4 |
| Change |
- 1x3 |
- 14 |
- 2x4 |
| After |
3x3 |
+ 42 |
1x4 |
Comparing Fiona and
Jaslyn in the end |
|
97 less |
| |
Fiona |
Jaslyn |
| Before |
12 u + 56 |
12 u |
| Change |
- 3 u - 14 |
- 8 u |
| After |
9 u + 42 |
4 u |
14 x 56 = 14
56 - 14 = 42
Jaslyn had 97 less buttons than Fiona in the end. So, if Jaslyn had another 97 buttons in the end, the number of buttons that Jaslyn and Fiona each had would be the same.
9 u + 42 = 4 u + 97
9 u - 4 u = 97 - 42
5 u = 55
1 u = 55 ÷ 5 = 11
Number of buttons that Fiona had at first
= 12 u + 56
= 12 x 11 + 56
= 132 + 56
= 188
Answer(s): 188
