Ian had 5 times as many marbles as Flynn at first. Then each of them bought an equal number of new marbles. In the end, Flynn had 32 marbles and Ian had 4 times as many marbles as Flynn. How many marbles did both of them buy altogether?
| |
Ian |
Flynn |
Difference |
| Before |
5x3 =
15 u |
1x3 =
3 u |
4x3 =
12 u |
| Change |
+ ? |
+ ? |
|
| After |
4x4 =
16 u |
1x4 =
4 u |
3x4 =
12 u |
The difference in the number of marbles at first and in the end remains unchanged. Make the difference in the number of marbles at first and in the end the same. LCM of 4 and 3 is 12.
Number of marbles that Flynn had in the end = 4 u
4 u = 32
1 u = 32 ÷ 4 = 8
Number of marbles that Ian bought
= 16 u - 15 u
= 1 u
Number of marbles that both of them bought altogether
= 2 x 1 u
= 2 u
= 2 x 8
= 16
Answer(s): 16
