Olivia and Hazel shared some earpins. Olivia's share was 45% of Hazel's share. She then increased her share of the earpins by taking 20% of Hazel's share. Given that Olivia had 33 fewer earpins than Hazel in the end, how many earpins did the girls have altogether?
| |
Olivia |
Hazel |
Difference |
Total |
| Before |
9 u |
20 u |
|
29 u |
| Change |
+ 4 u |
- 4 u |
|
|
| After |
13 u |
16 u |
3 u |
29 u |
45% =
45100 =
920Number of earpins that Olivia took from Hazel
= 20% x 20 u
=
20100 x 20 u
= 4 u
Number of fewer earpins that Olivia had than Hazel in the end = 3 u
3 u = 33
1 u = 33 ÷ 3 = 11
Total number of earpins that the girls had
= 29 u
= 29 x 11
= 319
Answer(s): 319
