Gem had 144 more lollipops than Usha. Gem used
45 of her lollipops and Usha used
34 of her lollipops. In the end, Gem had 4 times as much as Usha. Find the number of lollipops that Usha had at first.
|
Gem |
Usha |
Comparing Gem and Parry at first |
144 more |
|
Before |
5x4 = 20 u |
4 u |
Change |
- 4x4 = - 16 u |
- 3 u |
After |
1x4 = 4 u |
1 u |
Comparing Gem and Parry in the end |
4 u |
1 u |
The number of lollipops that Gem had in the end is repeated. Make the number of lollipops that Gem had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Gem had more than Usha
= 20 u - 4 u
= 16 u
16 u = 144
1 u = 144 ÷ 16 = 9
Number of lollipops that Usha had at first
= 4 u
= 4 x 9
= 36
Answer(s): 36