Natalie had four times the number of rubber blocks as Asher. Natalie used all her blocks to build 10 identical ships. Asher used all his blocks to build 4 identical ships. Natalie used 9 more blocks than Asher for each ship. How many blocks did Asher have?
| |
Natalie |
Asher |
| Number |
10 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
4 u |
Number of rubber blocks that Asher used for each ship = 1 u
Number of rubber blocks that Natalie used for each ship = 1 u + 9
Number of rubber blocks that Asher had
= 4 x 1 u
= 4 u
Number of rubber blocks that Natalie had
= 10 x (1 u + 9)
= 10 u + 90
Natalie had four times the number of rubber blocks as Asher.
4 x 4 u = 10 u + 90
16 u = 10 u + 90
16 u - 10 u = 90
6 u = 90
1 u = 90 ÷ 6 = 15
Number of blocks that Asher had
= 4 u
= 4 x 15
= 60
Answer(s): 60
