Xylia had 14 more marbles than Tammy. After Tammy gave away
15 of her marbles, Xylia had thrice as many marbles as Tammy. How many marbles did Tammy have at first?
| |
Xylia |
Tammy |
Comparing Xylia and
Tammy at first |
14 more |
|
| Before |
12 u |
5 u |
| Change |
|
- 1 u |
| After |
12 u |
4 u |
Comparing Xylia and
Tammy in the end |
3x4 =
12 u |
1x4 =
4 u |
Number of marbles that Tammy had in the end is repeated. Make the number of marbles that Tammy had in the end the same. LCM of 1 and 4 is 4.
Number of marbles that Xylia had at first = 12 u
Number of marbles that Xylia had more than Tammy at first
= 12 u - 5 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Number of marbles that Tammy had at first
= 5 u
= 5 x 2
= 10
Answer(s): 10
