Gwen had 140 less lollipops than Xylia. Xylia used
56 of her lollipops and Gwen used
34 of her lollipops. In the end, Xylia had 3 times as much as Gwen. Find the number of lollipops that Xylia had at first.
| |
Xylia |
Gwen |
Comparing Xylia
and Parry at first |
|
140 less |
| Before |
6x3 =
18 u |
4 u |
| Change |
- 5x3 =
- 15 u |
- 3 u |
| After |
1x3 =
3 u |
1 u |
Comparing Xylia
and Parry in the end |
3 u |
1 u |
The number of lollipops that Xylia had in the end is repeated. Make the number of lollipops that Xylia had in the end the same. LCM of 1 and 3 is 3.
Number of lollipops that Gwen had less than Xylia
= 18 u - 4 u
= 14 u
14 u = 140
1 u = 140 ÷ 14 = 10
Number of lollipops that Xylia had at first
= 18 u
= 18 x 10
= 180
Answer(s): 180
