Emma had four times the number of wooden blocks as Daniel. Emma used all her blocks to build 8 identical cars. Daniel used all his blocks to build 4 identical cars. Emma used 9 more blocks than Daniel for each car. How many blocks did Daniel have?
|
Emma |
Daniel |
Number |
8 |
4 |
Value |
1 u + 9 |
1 u |
Total value |
8 u + 72 |
4 u |
Number of wooden blocks that Daniel used for each car = 1 u
Number of wooden blocks that Emma used for each car = 1 u + 9
Number of wooden blocks that Daniel had
= 4 x 1 u
= 4 u
Number of wooden blocks that Emma had
= 8 x (1 u + 9)
= 8 u + 72
Emma had four times the number of wooden blocks as Daniel.
4 x 4 u = 8 u + 72
16 u = 8 u + 72
16 u - 8 u = 72
8 u = 72
1 u = 72 ÷ 8 = 9
Number of blocks that Daniel had
= 4 u
= 4 x 9
= 36
Answer(s): 36