Irene had 21 less sweets than Xandra. Xandra used
34 of her sweets and Irene used
45 of her sweets. In the end, Xandra had 2 times as much as Irene. Find the number of sweets that Xandra had at first.
| |
Xandra |
Irene |
Comparing Xandra
and Parry at first |
|
21 less |
| Before |
4x2 =
8 u |
5 u |
| Change |
- 3x2 =
- 6 u |
- 4 u |
| After |
1x2 =
2 u |
1 u |
Comparing Xandra
and Parry in the end |
2 u |
1 u |
The number of sweets that Xandra had in the end is repeated. Make the number of sweets that Xandra had in the end the same. LCM of 1 and 2 is 2.
Number of sweets that Irene had less than Xandra
= 8 u - 5 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Number of sweets that Xandra had at first
= 8 u
= 8 x 7
= 56
Answer(s): 56
