Shannon had four times the number of metallic blocks as Asher. Shannon used all her blocks to build 8 identical ships. Asher used all his blocks to build 5 identical ships. Shannon used 9 more blocks than Asher for each ship. How many blocks did Asher have?
|
Shannon |
Asher |
Number |
8 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
8 u + 72 |
5 u |
Number of metallic blocks that Asher used for each ship = 1 u
Number of metallic blocks that Shannon used for each ship = 1 u + 9
Number of metallic blocks that Asher had
= 5 x 1 u
= 5 u
Number of metallic blocks that Shannon had
= 8 x (1 u + 9)
= 8 u + 72
Shannon had four times the number of metallic blocks as Asher.
4 x 5 u = 8 u + 72
20 u = 8 u + 72
20 u - 8 u = 72
12 u = 72
1 u = 72 ÷ 12 = 6
Number of blocks that Asher had
= 5 u
= 5 x 6
= 30
Answer(s): 30