Gabby had four times the number of toy blocks as Nick. Gabby used all her blocks to build 12 identical ships. Nick used all his blocks to build 6 identical ships. Gabby used 9 more blocks than Nick for each ship. How many blocks did Nick have?
| |
Gabby |
Nick |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of toy blocks that Nick used for each ship = 1 u
Number of toy blocks that Gabby used for each ship = 1 u + 9
Number of toy blocks that Nick had
= 6 x 1 u
= 6 u
Number of toy blocks that Gabby had
= 12 x (1 u + 9)
= 12 u + 108
Gabby had four times the number of toy blocks as Nick.
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 Nick had
= 6 u
= 6 x 9
= 54
Answer(s): 54
