Fill in the blanks in units (Eg 1 u) or unit equations (Eg 1 u + 2).
Adam and Bryan have some beads.
Bryan uses
29 of his beads and
Adam buys 24 more beads.
In the end, the number of beads that Adam and Bryan have is in the ratio of 2 : 9.
- Number of beads that Bryan has in the end = _____
- Number of beads that Bryan has at first = _____
- Number of beads that Adam has at first = _____
- Total number of beads that they have at first = _____
|
Adam |
Bryan |
Before |
14 u - 24 |
9 x 9 = 81 u |
Change |
+ 24 |
- 2 x 9 = - 18 u |
After |
14 u |
7 x 9 = 63 u |
Comparing Adam and Bryan in the end |
2 x 7 = 14 u |
9 x 7 = 63 u |
(a)
The number of beads that Bryan has in the end is repeated. Use LCM to make them the same.
LCM of 7 and 9 = 63
Number of beads that Bryan has in the end = 63 u
(b)
Number of beads that Bryan has at first = 81 u
(c)
Number of beads that Adam has at first
= 14 u - 24
(d)
Total number of beads that they have at first
= 14 u - 24 + 81 u
= 14 u + 81 u - 24
= 95 u - 24
Answer(s): (a) 63 u; (b) 81 u; (c) 14 u - 24; (d) 95 u - 24