Gillian had 28 less sweets than Lucy. Lucy used
56 of her sweets and Gillian used
34 of her sweets. In the end, Lucy had 3 times as much as Gillian. Find the number of sweets that Lucy had at first.
| |
Lucy |
Gillian |
Comparing Lucy
and Parry at first |
|
28 less |
| Before |
6x3 =
18 u |
4 u |
| Change |
- 5x3 =
- 15 u |
- 3 u |
| After |
1x3 =
3 u |
1 u |
Comparing Lucy
and Parry in the end |
3 u |
1 u |
The number of sweets that Lucy had in the end is repeated. Make the number of sweets that Lucy had in the end the same. LCM of 1 and 3 is 3.
Number of sweets that Gillian had less than Lucy
= 18 u - 4 u
= 14 u
14 u = 28
1 u = 28 ÷ 14 = 2
Number of sweets that Lucy had at first
= 18 u
= 18 x 2
= 36
Answer(s): 36
