Albert had 70% fewer lollipops than Rael. After Rael gave 253 lollipops to Albert, Albert had
23 as many lollipops as Rael. How many lollipops did each of them have in the end?
- Rael
- Albert
|
Albert |
Rael |
Total |
Before |
3x5 = 15 u |
10x5 = 50 u |
13x5 = 65 u |
Change |
+ 253 |
- 253 |
|
After |
2x13 = 26 u |
3x13 = 39 u |
5x13 = 65 u |
Number of lollipops that Albert had at first in percentage
= 100% - 70%
= 30%
30% =
30100 =
310 The total number of lollipops at first and in the end remains unchanged. Make the total number of lollipops the same. LCM of 5 and 13 is 65.
Number of lollipops that Rael gave to Albert
= 50 u - 39 u
= 11 u
11 u = 253
1 u = 253 ÷ 11 = 23
Number of lollipops that Albert had in the end
= 26 u
= 26 x 23
= 598
Number of lollipops that Rael had in the end
= 39 u
= 39 x 23
= 897
Answer(s): (a) 598; (b) 897