Hilda had four times the number of plastic blocks as Daniel. Hilda used all her blocks to build 7 identical houses. Daniel used all his blocks to build 4 identical houses. Hilda used 9 more blocks than Daniel for each house. How many blocks did Daniel have?
| |
Hilda |
Daniel |
| Number |
7 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
7 u + 63 |
4 u |
Number of plastic blocks that Daniel used for each house = 1 u
Number of plastic blocks that Hilda used for each house = 1 u + 9
Number of plastic blocks that Daniel had
= 4 x 1 u
= 4 u
Number of plastic blocks that Hilda had
= 7 x (1 u + 9)
= 7 u + 63
Hilda had four times the number of plastic blocks as Daniel.
4 x 4 u = 7 u + 63
16 u = 7 u + 63
16 u - 7 u = 63
9 u = 63
1 u = 63 ÷ 9 = 7
Number of blocks that Daniel had
= 4 u
= 4 x 7
= 28
Answer(s): 28
