Jack had 214 cards more than Mary. Given that they have a total of 446 cards,
- how many cards did Mary have?
- how many cards did Jack have?
(a)
Number of cards that Jack that = 1 u + 214
Number of cards that Mary had = 1 u
Total number of cards
= 1 u + 214 + 1 u
= 2 u + 214
2 u + 214 = 446
2 u = 446 - 214
2 u = 232
1 u = 232 ÷ 2 = 116
Number of cards that Mary had
= 1 u
= 116
(b)
Number of cards that Jack had
= 1 u + 214
= 116 + 214
= 330
Answer(s): (a) 116; (b) 330
