Kimberly had four times the number of plastic blocks as Tim. Kimberly used all her blocks to build 12 identical figurines. Tim used all his blocks to build 6 identical figurines. Kimberly used 9 more blocks than Tim for each figurine. How many blocks did Tim have?
| |
Kimberly |
Tim |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of plastic blocks that Tim used for each figurine = 1 u
Number of plastic blocks that Kimberly used for each figurine = 1 u + 9
Number of plastic blocks that Tim had
= 6 x 1 u
= 6 u
Number of plastic blocks that Kimberly had
= 12 x (1 u + 9)
= 12 u + 108
Kimberly had four times the number of plastic blocks as Tim.
4 x 6 u = 12 u + 108
24 u = 12 u + 108
24 u - 12 u = 108
12 u = 108
1 u = 108 ÷ 12 = 9
Number of blocks that Tim had
= 6 u
= 6 x 9
= 54
Answer(s): 54
