Tammy had 81 more sweets than Shannon. Tammy used
78 of her sweets and Shannon used
45 of her sweets. In the end, Tammy had 4 times as much as Shannon. Find the number of sweets that Shannon had at first.
| |
Tammy |
Shannon |
Comparing Tammy
and Parry at first |
81 more |
|
| Before |
8x4 =
32 u |
5 u |
| Change |
- 7x4 =
- 28 u |
- 4 u |
| After |
1x4 =
4 u |
1 u |
Comparing Tammy
and Parry in the end |
4 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 4 is 4.
Number of sweets that Tammy had more than Shannon
= 32 u - 5 u
= 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Number of sweets that Shannon had at first
= 5 u
= 5 x 3
= 15
Answer(s): 15
