Sean and Harry have a total of 77 marbles. If Sean gives Harry 24 marbles, Harry will have 6 times as many marbles as him. Find
(a) Sean's marbles
(b) Harry's marbles
|
Sean |
Harry |
Total |
Before |
1 u + 24 |
6 u - 24 |
77 |
Change |
- 24 |
+ 24 |
|
After |
1 u |
6 u |
7 u |
(a)
Total number of marbles
= 1 u + 6 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of marbles that Sean has
= 1 u + 24
= 11 + 24
= 35
(b)
Number of marbles that Harry has
= 77 - 35
= 42
Answer(s): (a) 35; (b) 42