Erika has 10 cards fewer than Fanny but 22 cards more than Japheth. The three children have 219 cards altogether.
- How many cards does Japheth have?
- How many cards does Fanny have?
(a)
Number of cards Fanny has = 1 u
Number of cards Erika has = 1 u - 10
Number of cards Japheth has = 1 u - 10 - 22 = 1 u - 32
Total number of cards
= 1 u + 1 u - 10 + 1 u - 32
= 3 u - 42
3 u - 42 = 219
3 u = 219 + 42
3 u = 261
1 u = 261 ÷ 3 = 87
Number of cards that Japheth has
= 1 u - 32
= 87 - 32
= 55
(b)
Number of cards that Fanny has
= 1 u
= 87
Answer(s): (a) 55; (b) 87