Natalie had five times the number of rubber blocks as Julian. Natalie used all her blocks to build 10 identical figurines. Julian used all his blocks to build 4 identical figurines. Natalie used 9 more blocks than Julian for each figurine. How many blocks did Julian have?
| |
Natalie |
Julian |
| Number |
10 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
4 u |
Number of rubber blocks that Julian used for each figurine = 1 u
Number of rubber blocks that Natalie used for each figurine = 1 u + 9
Number of rubber blocks that Julian had
= 4 x 1 u
= 4 u
Number of rubber blocks that Natalie had
= 10 x (1 u + 9)
= 10 u + 90
Natalie had five times the number of rubber blocks as Julian.
5 x 4 u = 10 u + 90
20 u = 10 u + 90
20 u - 10 u = 90
10 u = 90
1 u = 90 ÷ 10 = 9
Number of blocks that Julian had
= 4 u
= 4 x 9
= 36
Answer(s): 36
