Barbara had 14 more scones than Penelope at first. After Barbara ate 4 scones, she had thrice as many scones as Penelope in the end. How many scones did Penelope have?
| |
Penelope |
Barbara |
| Before |
1 u |
1 u + 14 |
| Change |
|
- 4 |
| After |
1 u |
1 u + 10 |
Comparing Penelope
and Barbara in the end |
1 u |
3 u |
The number of scones that Penelope had remains unchanged.
Number of scones that Barbara had in the end
= 3 x 1 u
= 3 u
3 u = 1 u + 10
3 u - 1 u = 10
2 u = 10
1 u = 10 ÷ 2 = 5
Number of scones that Penelope had
= 1 u
= 5
Answer(s): 5
