Emma had 90 less lollipops than Xandra. Xandra used
67 of her lollipops and Emma used
45 of her lollipops. In the end, Xandra had 2 times as much as Emma. Find the number of lollipops that Xandra had at first.
| |
Xandra |
Emma |
Comparing Xandra
and Parry at first |
|
90 less |
| Before |
7x2 =
14 u |
5 u |
| Change |
- 6x2 =
- 12 u |
- 4 u |
| After |
1x2 =
2 u |
1 u |
Comparing Xandra
and Parry in the end |
2 u |
1 u |
The number of lollipops that Xandra had in the end is repeated. Make the number of lollipops that Xandra had in the end the same. LCM of 1 and 2 is 2.
Number of lollipops that Emma had less than Xandra
= 14 u - 5 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Number of lollipops that Xandra had at first
= 14 u
= 14 x 10
= 140
Answer(s): 140
