Tammy had 117 more sweets than Gillian. Tammy used
56 of her sweets and Gillian used
45 of her sweets. In the end, Tammy had 3 times as much as Gillian. Find the number of sweets that Gillian had at first.
| |
Tammy |
Gillian |
Comparing Tammy
and Parry at first |
117 more |
|
| Before |
6x3 =
18 u |
5 u |
| Change |
- 5x3 =
- 15 u |
- 4 u |
| After |
1x3 =
3 u |
1 u |
Comparing Tammy
and Parry in the end |
3 u |
1 u |
The number of sweets that Tammy had in the end is repeated. Make the number of sweets that Tammy had in the end the same. LCM of 1 and 3 is 3.
Number of sweets that Tammy had more than Gillian
= 18 u - 5 u
= 13 u
13 u = 117
1 u = 117 ÷ 13 = 9
Number of sweets that Gillian had at first
= 5 u
= 5 x 9
= 45
Answer(s): 45
