Gem had 72 more lollipops than Betty. Gem used
67 of her lollipops and Betty used
23 of her lollipops. In the end, Gem had 3 times as much as Betty. Find the number of lollipops that Betty had at first.
| |
Gem |
Betty |
Comparing Gem
and Parry at first |
72 more |
|
| Before |
7x3 =
21 u |
3 u |
| Change |
- 6x3 =
- 18 u |
- 2 u |
| After |
1x3 =
3 u |
1 u |
Comparing Gem
and Parry in the end |
3 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 3 is 3.
Number of lollipops that Gem had more than Betty
= 21 u - 3 u
= 18 u
18 u = 72
1 u = 72 ÷ 18 = 4
Number of lollipops that Betty had at first
= 3 u
= 3 x 4
= 12
Answer(s): 12
