Shannon has 13 coins fewer than Tina but 23 coins more than Ben. The three children have 173 coins altogether.
- How many coins does Ben have?
- How many coins does Tina have?
(a)
Number of coins Tina has = 1 u
Number of coins Shannon has = 1 u - 13
Number of coins Ben has = 1 u - 13 - 23 = 1 u - 36
Total number of coins
= 1 u + 1 u - 13 + 1 u - 36
= 3 u - 49
3 u - 49 = 173
3 u = 173 + 49
3 u = 222
1 u = 222 ÷ 3 = 74
Number of coins that Ben has
= 1 u - 36
= 74 - 36
= 38
(b)
Number of coins that Tina has
= 1 u
= 74
Answer(s): (a) 38; (b) 74