Hazel had 162 more sweets than Natalie. Hazel used
45 of her sweets and Natalie used
12 of her sweets. In the end, Hazel had 4 times as much as Natalie. Find the number of sweets that Natalie had at first.
| |
Hazel |
Natalie |
Comparing Hazel
and Parry at first |
162 more |
|
| Before |
5x4 =
20 u |
2 u |
| Change |
- 4x4 =
- 16 u |
- 1 u |
| After |
1x4 =
4 u |
1 u |
Comparing Hazel
and Parry in the end |
4 u |
1 u |
The number of sweets that Hazel had in the end is repeated. Make the number of sweets that Hazel had in the end the same. LCM of 1 and 4 is 4.
Number of sweets that Hazel had more than Natalie
= 20 u - 2 u
= 18 u
18 u = 162
1 u = 162 ÷ 18 = 9
Number of sweets that Natalie had at first
= 2 u
= 2 x 9
= 18
Answer(s): 18
