Joelle had five times the number of wooden blocks as Julian. Joelle used all her blocks to build 10 identical houses. Julian used all his blocks to build 5 identical houses. Joelle used 9 more blocks than Julian for each house. How many blocks did Julian have?
|
Joelle |
Julian |
Number |
10 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
10 u + 90 |
5 u |
Number of wooden blocks that Julian used for each house = 1 u
Number of wooden blocks that Joelle used for each house = 1 u + 9
Number of wooden blocks that Julian had
= 5 x 1 u
= 5 u
Number of wooden blocks that Joelle had
= 10 x (1 u + 9)
= 10 u + 90
Joelle had five times the number of wooden blocks as Julian.
5 x 5 u = 10 u + 90
25 u = 10 u + 90
25 u - 10 u = 90
15 u = 90
1 u = 90 ÷ 15 = 6
Number of blocks that Julian had
= 5 u
= 5 x 6
= 30
Answer(s): 30