Fanny has 8 marbles fewer than Esther but 28 marbles more than Howard. The three children have 169 marbles altogether.
- How many marbles does Howard have?
- How many marbles does Esther have?
(a)
Number of marbles Esther has = 1 u
Number of marbles Fanny has = 1 u - 8
Number of marbles Howard has = 1 u - 8 - 28 = 1 u - 36
Total number of marbles
= 1 u + 1 u - 8 + 1 u - 36
= 3 u - 44
3 u - 44 = 169
3 u = 169 + 44
3 u = 213
1 u = 213 ÷ 3 = 71
Number of marbles that Howard has
= 1 u - 36
= 71 - 36
= 35
(b)
Number of marbles that Esther has
= 1 u
= 71
Answer(s): (a) 35; (b) 71
