Luke and Owen have a total of 77 stamps. If Luke gives Owen 34 stamps, Owen will have 6 times as many stamps as him. Find
(a) Luke's stamps
(b) Owen's stamps
|
Luke |
Owen |
Total |
Before |
1 u + 34 |
6 u - 34 |
77 |
Change |
- 34 |
+ 34 |
|
After |
1 u |
6 u |
7 u |
(a)
Total number of stamps
= 1 u + 6 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Number of stamps that Luke has
= 1 u + 34
= 11 + 34
= 45
(b)
Number of stamps that Owen has
= 77 - 45
= 32
Answer(s): (a) 45; (b) 32