Lynn had twice the number of rubber blocks as Tom. Lynn used all her blocks to build 9 identical figurines. Tom used all his blocks to build 6 identical figurines. Lynn used 9 more blocks than Tom for each figurine. How many blocks did Tom have?
| |
Lynn |
Tom |
| Number |
9 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
6 u |
Number of rubber blocks that Tom used for each figurine = 1 u
Number of rubber blocks that Lynn used for each figurine = 1 u + 9
Number of rubber blocks that Tom had
= 6 x 1 u
= 6 u
Number of rubber blocks that Lynn had
= 9 x (1 u + 9)
= 9 u + 81
Lynn had twice the number of rubber blocks as Tom.
2 x 6 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
= 6 u
= 6 x 27
= 162
Answer(s): 162
