Adam has 120 blue marbles.
He has 6 times as many blue marbles as red marbles.
After he buys an equal number of blue and red marbles,
the number of blue marbles is 2 times that of the red marbles.
- How many blue marbles are there in the end?
- How many red marbles are there in the end?
- How many marbles are there in the end?
- How many marbles does Adam buy?
|
Blue marbles |
Red marbles |
Difference |
Before |
6 x 1 = 6 u |
1 x 1 = 1 u |
5 x 1 = 5 u |
Change |
+ ? |
+ ? |
|
After |
2 x 5 = 10 u |
1 x 5 = 5 u |
1 x 5 = 5 u |
(a)
The difference in the number between the blue and red marbles at first and in the end remains unchanged.
LCM of 5 and 1 is 5.
6 u = 120
1 u = 120 ÷ 6 = 20
Number of blue marbles in the end
= 10 u
= 10 x 20
= 200
(b)
Number of red marbles in the end
= 5 u
= 5 x 20
= 100
(c)
Total number of marbles in the end
= 200 + 100
= 300
(d)
Total number of marbles that Adam buys
= (10 u - 6 u) x 2
= 4 u x 2
= 8 u
= 8 x 20
= 160
Answer(s): (a) 200; (b) 100; (c) 300; (d) 160