Tina and Penelope shared some earpins. Tina's share was 40% of Penelope's share. She then increased her share of the earpins by taking 20% of Penelope's share. Given that Tina had 31 fewer earpins than Penelope in the end, how many earpins did the girls have altogether?
| |
Tina |
Penelope |
Difference |
Total |
| Before |
2 u |
5 u |
|
7 u |
| Change |
+ 1 u |
- 1 u |
|
|
| After |
3 u |
4 u |
1 u |
7 u |
40% =
40100 =
25Number of earpins that Tina took from Penelope
= 20% x 5 u
=
20100 x 5 u
= 1 u
Number of fewer earpins that Tina had than Penelope in the end = 1 u
1 u = 31
1 u = 31 ÷ 1 = 31
Total number of earpins that the girls had
= 7 u
= 7 x 31
= 217
Answer(s): 217
