Valen and John have a total of 54 marbles. If Valen gives John 23 marbles, John will have 5 times as many marbles as him. Find
(a) Valen's marbles
(b) John's marbles
|
Valen |
John |
Total |
Before |
1 u + 23 |
5 u - 23 |
54 |
Change |
- 23 |
+ 23 |
|
After |
1 u |
5 u |
6 u |
(a)
Total number of marbles
= 1 u + 5 u
= 6 u
6 u = 54
1 u = 54 ÷ 6 = 9
Number of marbles that Valen has
= 1 u + 23
= 9 + 23
= 32
(b)
Number of marbles that John has
= 54 - 32
= 22
Answer(s): (a) 32; (b) 22