Mark has twice as many cards as Fabian. Fabian has 10 more cards than Julian. They have a total of 138 cards.
- How many cards does Mark have?
- How many cards does Julian have?
(a)
Number of cards that Fabian has = 1 u
Number of cards that Julian has = 1 u - 10
Number of cards that Mark has = 2 u
Total number of cards
= 1 u + 1 u - 10 + 2 u
= 4 u - 10
4 u - 10 = 138
4 u = 138 + 10
4 u = 148
1 u = 148 ÷ 4 = 37
Number of cards that Mark has
= 2 u
= 2 x 37
= 74
(b)
Number of cards that Julian has
= 1 u - 10
= 37 - 10
= 27
Answer(s): (a) 74; (b) 27
