Last Thursday, Reggie had thrice as many marbles as Xavier. Today, Reggie gives 99 of his marbles to his sister. Now, Xavier has four times as many marbles as Reggie. How many marbles does Xavier have?
| |
Reggie |
Xavier |
| Before |
3x4 =
12 u |
1x4 =
4 u |
| Change |
- 99 |
|
| After |
1 u |
4 u |
The number of marbles that Xavier had at first and in the end remains unchanged. Make the number of marbles that Xavier has the same. LCM of 1 and 4 is 4.
Number of marbles that Reggie gives to his sister
= 12 u - 1 u
= 11 u
11 u = 99
1 u = 99 ÷ 11 = 9
Number of marbles that Xavier has
= 4 u
= 4 x 9
= 36
Answer(s): 36
