Reggie and Fred have a total of 90 erasers. If Reggie gives Fred 16 erasers, Fred will have 5 times as many erasers as him. Find
(a) Reggie's erasers
(b) Fred's erasers
|
Reggie |
Fred |
Total |
Before |
1 u + 16 |
5 u - 16 |
90 |
Change |
- 16 |
+ 16 |
|
After |
1 u |
5 u |
6 u |
(a)
Total number of erasers
= 1 u + 5 u
= 6 u
6 u = 90
1 u = 90 ÷ 6 = 15
Number of erasers that Reggie has
= 1 u + 16
= 15 + 16
= 31
(b)
Number of erasers that Fred has
= 90 - 31
= 59
Answer(s): (a) 31; (b) 59