Fill in the blanks in units (Eg 1 u) or unit equations (Eg 1 u + 2).
Adam and Bryan have some marbles.
Bryan uses
35 of his marbles and
Adam buys 24 more marbles.
In the end, the number of marbles that Adam and Bryan have is in the ratio of 1 : 3.
- Number of marbles that Bryan has in the end = _____
- Number of marbles that Bryan has at first = _____
- Number of marbles that Adam has at first = _____
- Total number of marbles that they have at first = _____
|
Adam |
Bryan |
Before |
2 u - 24 |
5 x 3 = 15 u |
Change |
+ 24 |
- 3 x 3 = - 9 u |
After |
2 u |
2 x 3 = 6 u |
Comparing Adam and Bryan in the end |
1 x 2 = 2 u |
3 x 2 = 6 u |
(a)
The number of marbles that Bryan has in the end is repeated. Use LCM to make them the same.
LCM of 2 and 3 = 6
Number of marbles that Bryan has in the end = 6 u
(b)
Number of marbles that Bryan has at first = 15 u
(c)
Number of marbles that Adam has at first
= 2 u - 24
(d)
Total number of marbles that they have at first
= 2 u - 24 + 15 u
= 2 u + 15 u - 24
= 17 u - 24
Answer(s): (a) 6 u; (b) 15 u; (c) 2 u - 24; (d) 17 u - 24