Valen and Luke have a total of 75 buttons. If Valen gives Luke 23 buttons, Luke will have 4 times as many buttons as him. Find
(a) Valen's buttons
(b) Luke's buttons
|
Valen |
Luke |
Total |
Before |
1 u + 23 |
4 u - 23 |
75 |
Change |
- 23 |
+ 23 |
|
After |
1 u |
4 u |
5 u |
(a)
Total number of buttons
= 1 u + 4 u
= 5 u
5 u = 75
1 u = 75 ÷ 5 = 15
Number of buttons that Valen has
= 1 u + 23
= 15 + 23
= 38
(b)
Number of buttons that Luke has
= 75 - 38
= 37
Answer(s): (a) 38; (b) 37