Justin has twice as many erasers as Luke. Luke has 6 more erasers than Ethan. They have a total of 106 erasers.
- How many erasers does Justin have?
- How many erasers does Ethan have?
(a)
Number of erasers that Luke has = 1 u
Number of erasers that Ethan has = 1 u - 6
Number of erasers that Justin has = 2 u
Total number of erasers
= 1 u + 1 u - 6 + 2 u
= 4 u - 6
4 u - 6 = 106
4 u = 106 + 6
4 u = 112
1 u = 112 ÷ 4 = 28
Number of erasers that Justin has
= 2 u
= 2 x 28
= 56
(b)
Number of erasers that Ethan has
= 1 u - 6
= 28 - 6
= 22
Answer(s): (a) 56; (b) 22