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