Tim, Elijah and Riordan had a total of 525 marbles at first. After a week, the number of Tim's marbles became 4 times the number of marbles he had at first. The number of Elijah's marbles decreased by 84. Riordan had one-quarter as many marbles as he had at first. In the end, the three boys had the same number of marbles.
- How many marbles did Riordan have at first?
- What was the total number of marbles that the three boys had in the end?
|
Tim |
Elijah |
Riordan |
Total |
Before |
1 u |
4 u + 84 |
16 u |
|
Change |
x 4 |
- 84 |
x 14 |
|
After |
4 u |
4 u |
4 u |
12 u |
(a)
Total number of marbles at first
=
1 u + 4 u + 84 + 16 u
= 21 u + 84
21 u + 84 = 52521 u = 525 - 8421 u = 441
1 u = 441 ÷ 21 = 21 Number of marbles that Riordan had at first
= 4 u ÷
14= 4 u x
41= 16 u = 16 x 21 = 336(b)Total number of marbles that the three boys had at the end = 12 u = 12 x 21 = 252 Answer(s): (a) 336; (b) 252