Reggie, Caden and Ivan had 192 marbles. After Reggie used 21 marbles and Caden used
14 of her marbles, Reggie had four times as many marbles left as Caden. Ivan bought another 29 marbles, he had thrice the number of marbles Caden had left. How many marbles did Ivan have at first?
| |
Reggie |
Caden |
Ivan |
Total |
| Before |
12 u + 21 |
4 u |
9 u - 29 |
192 |
| Change |
- 21 |
- 1 u |
+ 29 |
|
| After |
12 u |
3 u |
9 u |
|
Comparing Reggie
and Caden in the end |
4 |
1 |
|
|
Comparing Ivan
and Caden in the end |
|
1 |
3 |
|
Number of marbles that Reggie had in the end
= 4 x 3 u
= 12 u
Number of marbles that Ivan had in the end
= 3 x 3 u
= 9 u
Total number of marbles at first
= 12 u + 21 + 4 u + 9 u - 29
= 25 u - 8
25 u - 8 = 192
25 u = 192 + 8
25 u = 200
1 u = 200 ÷ 25 = 8
Number of marbles that Ivan had at first
= 9 u - 29
= 9 x 8 - 29
= 72 - 29
= 43
Answer(s): 43
