Michael, Perry and Carl had a total of 588 marbles at first. After a week, the number of Michael's marbles became 5 times the number of marbles he had at first. The number of Perry's marbles decreased by 188. Carl had half as many marbles as he had at first. In the end, the three boys had the same number of marbles.
- How many marbles did Carl have at first?
- What was the total number of marbles that the three boys had in the end?
|
Michael |
Perry |
Carl |
Total |
Before |
1 u |
5 u + 188 |
10 u |
|
Change |
x 5 |
- 188 |
x 12 |
|
After |
5 u |
5 u |
5 u |
15 u |
(a)
Total number of marbles at first
=
1 u + 5 u + 188 + 10 u
= 16 u + 188
16 u + 188 = 58816 u = 588 - 18816 u = 400
1 u = 400 ÷ 16 = 25 Number of marbles that Carl had at first
= 5 u ÷
12= 5 u x
21= 10 u = 10 x 25 = 250(b)Total number of marbles that the three boys had at the end = 15 u = 15 x 25 = 375 Answer(s): (a) 250; (b) 375