Mark and Zeph have a total of 84 beads. If Mark gives Zeph 28 beads, Zeph will have 6 times as many beads as him. Find
(a) Mark's beads
(b) Zeph's beads
|
Mark |
Zeph |
Total |
Before |
1 u + 28 |
6 u - 28 |
84 |
Change |
- 28 |
+ 28 |
|
After |
1 u |
6 u |
7 u |
(a)
Total number of beads
= 1 u + 6 u
= 7 u
7 u = 84
1 u = 84 ÷ 7 = 12
Number of beads that Mark has
= 1 u + 28
= 12 + 28
= 40
(b)
Number of beads that Zeph has
= 84 - 40
= 44
Answer(s): (a) 40; (b) 44