Asher, Glen and Ian had the same number of marbles. Ian gave 0.6 of his marbles to Glen. Then Glen gave 0.45 of his marbles to Asher. Finally, after Glen gave 24 marbles to Ian, he had the same number of marbles as Ian. How many marbles did Ian have at first?
| |
Asher |
Glen |
Ian |
| Before |
1 u |
1 u |
1 u |
| Change 1 |
|
+ 0.6 u |
- 0.6 u |
| After 1 |
1 u |
1.6 u |
0.4 u |
| Change 2 |
+ 0.72 u |
- 0.72 u |
|
| After 2 |
1.72 u |
0.88 u |
0.4 u |
| Change 3 |
|
- 24 |
+ 24 |
| After 3 |
1.72 u |
0.88 u - 24 |
0.4 u + 24 |
Number of marbles that Glen gave to Asher
= 0.45 x 1.6 u
= 0.72 u
The number of marbles that Glen and Ian had in the end is the same.
0.88 u - 24 = 0.4 u + 24
0.88 u - 0.4 u = 24 + 24
0.48 u = 48
1 u = 48 ÷ 0.48 = 100
Number of marbles that Ian had at first
= 1 u
= 100
Answer(s): 100
