Fill in the blanks in units (Eg 1 u) or unit equations (Eg 1 u + 2).
Bryan and Adam have some marbles.
Adam uses
47 of his marbles and
Bryan buys 22 more marbles.
In the end, the number of marbles that Bryan and Adam have is in the ratio of 7 : 8.
- 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 = _____
|
Bryan |
Adam |
Before |
21 u - 22 |
7 x 8 = 56 u |
Change |
+ 22 |
- 4 x 8 = - 32 u |
After |
21 u |
3 x 8 = 24 u |
Comparing Bryan and Adam in the end |
7 x 3 = 21 u |
8 x 3 = 24 u |
(a)
The number of marbles that Adam has in the end is repeated. Use LCM to make them the same.
LCM of 3 and 8 = 24
Number of marbles that Adam has in the end = 24 u
(b)
Number of marbles that Adam has at first = 56 u
(c)
Number of marbles that Bryan has at first
= 21 u - 22
(d)
Total number of marbles that they have at first
= 21 u - 22 + 56 u
= 21 u + 56 u - 22
= 77 u - 22
Answer(s): (a) 24 u; (b) 56 u; (c) 21 u - 22; (d) 77 u - 22