Jane had four times the number of wooden blocks as Tom. Jane used all her blocks to build 9 identical figurines. Tom used all his blocks to build 3 identical figurines. Jane used 9 more blocks than Tom for each figurine. How many blocks did Tom have?
| |
Jane |
Tom |
| Number |
9 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
3 u |
Number of wooden blocks that Tom used for each figurine = 1 u
Number of wooden blocks that Jane used for each figurine = 1 u + 9
Number of wooden blocks that Tom had
= 3 x 1 u
= 3 u
Number of wooden blocks that Jane had
= 9 x (1 u + 9)
= 9 u + 81
Jane had four times the number of wooden blocks as Tom.
4 x 3 u = 9 u + 81
12 u = 9 u + 81
12 u - 9 u = 81
3 u = 81
1 u = 81 ÷ 3 = 27
Number of blocks that Tom had
= 3 u
= 3 x 27
= 81
Answer(s): 81
