Adam has 75 blue marbles.
He has 5 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 3 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 |
5 x 1 = 5 u |
1 x 1 = 1 u |
4 x 1 = 4 u |
Change |
+ ? |
+ ? |
|
After |
3 x 2 = 6 u |
1 x 2 = 2 u |
2 x 2 = 4 u |
(a)
The difference in the number between the blue and red marbles at first and in the end remains unchanged.
LCM of 4 and 2 is 4.
5 u = 75
1 u = 75 ÷ 5 = 15
Number of blue marbles in the end
= 6 u
= 6 x 15
= 90
(b)
Number of red marbles in the end
= 2 u
= 2 x 15
= 30
(c)
Total number of marbles in the end
= 90 + 30
= 120
(d)
Total number of marbles that Adam buys
= (6 u - 5 u) x 2
= 1 u x 2
= 2 u
= 2 x 15
= 30
Answer(s): (a) 90; (b) 30; (c) 120; (d) 30