Gem had 286 more lollipops than Diana. Gem used
67 of her lollipops and Diana used
12 of her lollipops. In the end, Gem had 4 times as much as Diana. Find the number of lollipops that Diana had at first.
|
Gem |
Diana |
Comparing Gem and Parry at first |
286 more |
|
Before |
7x4 = 28 u |
2 u |
Change |
- 6x4 = - 24 u |
- 1 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 Diana
= 28 u - 2 u
= 26 u
26 u = 286
1 u = 286 ÷ 26 = 11
Number of lollipops that Diana had at first
= 2 u
= 2 x 11
= 22
Answer(s): 22