Adam has 192 red marbles.
He has 6 times as many red marbles as blue marbles.
After he buys an equal number of red and blue marbles,
the number of red marbles is 5 times that of the blue marbles.
- How many red marbles are there in the end?
- How many blue marbles are there in the end?
- How many marbles are there in the end?
- How many marbles does Adam buy?
|
Red marbles |
Blue marbles |
Difference |
Before |
6 x 4 = 24 u |
1 x 4 = 4 u |
5 x 4 = 20 u |
Change |
+ ? |
+ ? |
|
After |
5 x 5 = 25 u |
1 x 5 = 5 u |
4 x 5 = 20 u |
(a)
The difference in the number between the red and blue marbles at first and in the end remains unchanged.
LCM of 5 and 4 is 20.
24 u = 192
1 u = 192 ÷ 24 = 8
Number of red marbles in the end
= 25 u
= 25 x 8
= 200
(b)
Number of blue marbles in the end
= 5 u
= 5 x 8
= 40
(c)
Total number of marbles in the end
= 200 + 40
= 240
(d)
Total number of marbles that Adam buys
= (25 u - 24 u) x 2
= 1 u x 2
= 2 u
= 2 x 8
= 16
Answer(s): (a) 200; (b) 40; (c) 240; (d) 16