Michael had 330 more beads than Sam at first. Then Michael bought 50 more beads. In the end, Michael has 5 times as many beads as Sam.
- How many beads did Sam have?
- Find the total number of beads Michael and Sam had in the end?
| |
Michael |
Sam |
Total |
| Before |
1 u + 330 |
1 u |
|
| Change |
+ 50 |
|
|
| After |
1 u + 330 + 50 |
1 u |
6 u |
(a)
Before
Number of beads that Michael had = 1 u + 330
Number of beads that Sam had = 1 u
After
Number of beads that Michael had = 1 u + 330 + 50 = 5 u
Number of beads that Sam had = 1 u
1 u + 330 + 50 = 5u
1 u + 380 = 5 u
5 u - 1 u = 380
4 u = 380
1 u = 380 ÷ 4 = 95
(a)
Number of beads that Sam had
= 1 u
= 95
(b)
Number of beads that Michael and Sam had in the end
= 5 u + 1 u
= 6 u
= 6 x 95
= 570
Answer(s): (a) 95; (b) 570
