Julie has 7 marbles fewer than Nicole but 45 marbles more than Liam. The three children have 130 marbles altogether.
- How many marbles does Liam have?
- How many marbles does Nicole have?
(a)
Number of marbles Nicole has = 1 u
Number of marbles Julie has = 1 u - 7
Number of marbles Liam has = 1 u - 7 - 45 = 1 u - 52
Total number of marbles
= 1 u + 1 u - 7 + 1 u - 52
= 3 u - 59
3 u - 59 = 130
3 u = 130 + 59
3 u = 189
1 u = 189 ÷ 3 = 63
Number of marbles that Liam has
= 1 u - 52
= 63 - 52
= 11
(b)
Number of marbles that Nicole has
= 1 u
= 63
Answer(s): (a) 11; (b) 63
