Gabriel has thrice as many marbles as Tommy. Tommy has 10 more marbles than Ken. They have a total of 55 marbles.
- How many marbles does Gabriel have?
- How many marbles does Ken have?
(a)
Number of marbles that Tommy has = 1 u
Number of marbles that Ken has = 1 u - 10
Number of marbles that Gabriel has = 3 u
Total number of marbles
= 1 u + 1 u - 10 + 3 u
= 5 u - 10
5 u - 10 = 55
5 u = 55 + 10
5 u = 65
1 u = 65 ÷ 5 = 13
Number of marbles that Gabriel has
= 3 u
= 3 x 13
= 39
(b)
Number of marbles that Ken has
= 1 u - 10
= 13 - 10
= 3
Answer(s): (a) 39; (b) 3