Caden has thrice as many marbles as Pierre. Pierre has 12 more marbles than Ahmad. They have a total of 103 marbles.
- How many marbles does Caden have?
- How many marbles does Ahmad have?
(a)
Number of marbles that Pierre has = 1 u
Number of marbles that Ahmad has = 1 u - 12
Number of marbles that Caden has = 3 u
Total number of marbles
= 1 u + 1 u - 12 + 3 u
= 5 u - 12
5 u - 12 = 103
5 u = 103 + 12
5 u = 115
1 u = 115 ÷ 5 = 23
Number of marbles that Caden has
= 3 u
= 3 x 23
= 69
(b)
Number of marbles that Ahmad has
= 1 u - 12
= 23 - 12
= 11
Answer(s): (a) 69; (b) 11