Gillian has 11 erasers fewer than Dana but 18 erasers more than Elijah. The three children have 176 erasers altogether.
- How many erasers does Elijah have?
- How many erasers does Dana have?
(a)
Number of erasers Dana has = 1 u
Number of erasers Gillian has = 1 u - 11
Number of erasers Elijah has = 1 u - 11 - 18 = 1 u - 29
Total number of erasers
= 1 u + 1 u - 11 + 1 u - 29
= 3 u - 40
3 u - 40 = 176
3 u = 176 + 40
3 u = 216
1 u = 216 ÷ 3 = 72
Number of erasers that Elijah has
= 1 u - 29
= 72 - 29
= 43
(b)
Number of erasers that Dana has
= 1 u
= 72
Answer(s): (a) 43; (b) 72
