Emma has 14 marbles fewer than Cindy but 23 marbles more than Vincent. The three children have 204 marbles altogether.
- How many marbles does Vincent have?
- How many marbles does Cindy have?
(a)
Number of marbles Cindy has = 1 u
Number of marbles Emma has = 1 u - 14
Number of marbles Vincent has = 1 u - 14 - 23 = 1 u - 37
Total number of marbles
= 1 u + 1 u - 14 + 1 u - 37
= 3 u - 51
3 u - 51 = 204
3 u = 204 + 51
3 u = 255
1 u = 255 ÷ 3 = 85
Number of marbles that Vincent has
= 1 u - 37
= 85 - 37
= 48
(b)
Number of marbles that Cindy has
= 1 u
= 85
Answer(s): (a) 48; (b) 85
