Tina had 162 less lollipops than Betty. Betty used
45 of her lollipops and Tina used
12 of her lollipops. In the end, Betty had 4 times as much as Tina. Find the number of lollipops that Betty had at first.
| |
Betty |
Tina |
Comparing Betty
and Parry at first |
|
162 less |
| Before |
5x4 =
20 u |
2 u |
| Change |
- 4x4 =
- 16 u |
- 1 u |
| After |
1x4 =
4 u |
1 u |
Comparing Betty
and Parry in the end |
4 u |
1 u |
The number of lollipops that Betty had in the end is repeated. Make the number of lollipops that Betty had in the end the same. LCM of 1 and 4 is 4.
Number of lollipops that Tina had less than Betty
= 20 u - 2 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of lollipops that Betty had at first
= 20 u
= 20 x 9
= 180
Answer(s): 180
