Gwen had 90 less lollipops than Rachel. Rachel used
56 of her lollipops and Gwen used
23 of her lollipops. In the end, Rachel had 3 times as much as Gwen. Find the number of lollipops that Rachel had at first.
| |
Rachel |
Gwen |
Comparing Rachel
and Parry at first |
|
90 less |
| Before |
6x3 =
18 u |
3 u |
| Change |
- 5x3 =
- 15 u |
- 2 u |
| After |
1x3 =
3 u |
1 u |
Comparing Rachel
and Parry in the end |
3 u |
1 u |
The number of lollipops that Rachel had in the end is repeated. Make the number of lollipops that Rachel had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Gwen had less than Rachel
= 18 u - 3 u
= 15 u
15 u = 90
1 u = 90 ÷ 15 = 6
Number of lollipops that Rachel had at first
= 18 u
= 18 x 6
= 108
Answer(s): 108
