Joelle has 7 cards fewer than Lucy but 35 cards more than Mark. The three children have 179 cards altogether.
- How many cards does Mark have?
- How many cards does Lucy have?
(a)
Number of cards Lucy has = 1 u
Number of cards Joelle has = 1 u - 7
Number of cards Mark has = 1 u - 7 - 35 = 1 u - 42
Total number of cards
= 1 u + 1 u - 7 + 1 u - 42
= 3 u - 49
3 u - 49 = 179
3 u = 179 + 49
3 u = 228
1 u = 228 ÷ 3 = 76
Number of cards that Mark has
= 1 u - 42
= 76 - 42
= 34
(b)
Number of cards that Lucy has
= 1 u
= 76
Answer(s): (a) 34; (b) 76