Zane, Brandon and Ryan had the same number of marbles. Ryan gave 0.6 of his marbles to Brandon. Then Brandon gave 0.35 of his marbles to Zane. Finally, after Brandon gave 32 marbles to Ryan, he had the same number of marbles as Ryan. How many marbles did Ryan have at first?
| |
Zane |
Brandon |
Ryan |
| 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 |
+ 0.56 u |
- 0.56 u |
|
| After 2 |
1.56 u |
1.04 u |
0.4 u |
| Change 3 |
|
- 32 |
+ 32 |
| After 3 |
1.56 u |
1.04 u - 32 |
0.4 u + 32 |
Number of marbles that Brandon gave to Zane
= 0.35 x 1.6 u
= 0.56 u
The number of marbles that Brandon and Ryan had in the end is the same.
1.04 u - 32 = 0.4 u + 32
1.04 u - 0.4 u = 32 + 32
0.64 u = 64
1 u = 64 ÷ 0.64 = 100
Number of marbles that Ryan had at first
= 1 u
= 100
Answer(s): 100
