David had 221 more beads than Asher at first. Then David bought 43 more beads. In the end, David has 4 times as many beads as Asher.
- How many beads did Asher have?
- Find the total number of beads David and Asher had in the end?
|
David |
Asher |
Total |
Before |
1 u + 221 |
1 u |
|
Change |
+ 43 |
|
|
After |
1 u + 221 + 43 |
1 u |
5 u |
(a)
Before
Number of beads that David had = 1 u + 221
Number of beads that Asher had = 1 u
After
Number of beads that David had = 1 u + 221 + 43 = 4 u
Number of beads that Asher had = 1 u
1 u + 221 + 43 = 4u
1 u + 264 = 4 u
4 u - 1 u = 264
3 u = 264
1 u = 264 ÷ 3 = 88
(a)
Number of beads that Asher had
= 1 u
= 88
(b)
Number of beads that David and Asher had in the end
= 4 u + 1 u
= 5 u
= 5 x 88
= 440
Answer(s): (a) 88; (b) 440