Zara has 5 coins fewer than Jen but 42 coins more than Sam. The three children have 296 coins altogether.
- How many coins does Sam have?
- How many coins does Jen have?
(a)
Number of coins Jen has = 1 u
Number of coins Zara has = 1 u - 5
Number of coins Sam has = 1 u - 5 - 42 = 1 u - 47
Total number of coins
= 1 u + 1 u - 5 + 1 u - 47
= 3 u - 52
3 u - 52 = 296
3 u = 296 + 52
3 u = 348
1 u = 348 ÷ 3 = 116
Number of coins that Sam has
= 1 u - 47
= 116 - 47
= 69
(b)
Number of coins that Jen has
= 1 u
= 116
Answer(s): (a) 69; (b) 116
