Fill in the blanks in units (Eg 3 u) or unit equations (Eg 1 u + 2).
Bryan and Adam have some marbles.
Adam uses
29 of his marbles and
Bryan uses 34 of his marbles.
In the end, the number of marbles that Adam and Bryan have is in the ratio of 5 : 4.
- Number of marbles that Adam has in the end = _____
- Number of marbles that Adam has at first = _____
- Number of marbles that Bryan has at first = _____
- Total number of marbles that they have at first = _____
|
Adam |
Bryan |
Before |
9 x 5 = 45 u |
28 u + 34 |
Change |
- 2 x 5 = - 10 u |
- 34 |
After |
7 x 5 = 35 u |
|
Comparing Adam and Bryan |
5 x 7 = 35 u |
4 x 7 = 28 u |
(a)
The number of marbles that Adam has in the end is repeated. Use LCM to make them the same.
The LCM of 7 and 5 = 35
Number of marbles that Adam has in the end = 35 u
(b)
Number of marbles that Adam has at first = 45 u
(c)
Number of marbles that Bryan has at first = 28 u + 34
(d)
Total number of marbles that they have at first
= 45 u + 28 u + 34
= 73 u + 34
Answer(s): (a) 35 u; (b) 45 u; (c) 28 u + 34; (d) 73 u + 34