Abi had twice the number of toy blocks as Daniel. Abi used all her blocks to build 7 identical houses. Daniel used all his blocks to build 5 identical houses. Abi used 9 more blocks than Daniel for each house. How many blocks did Daniel have?
| |
Abi |
Daniel |
| Number |
7 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
7 u + 63 |
5 u |
Number of toy blocks that Daniel used for each house = 1 u
Number of toy blocks that Abi used for each house = 1 u + 9
Number of toy blocks that Daniel had
= 5 x 1 u
= 5 u
Number of toy blocks that Abi had
= 7 x (1 u + 9)
= 7 u + 63
Abi had twice the number of toy blocks as Daniel.
2 x 5 u = 7 u + 63
10 u = 7 u + 63
10 u - 7 u = 63
3 u = 63
1 u = 63 ÷ 3 = 21
Number of blocks that Daniel had
= 5 u
= 5 x 21
= 105
Answer(s): 105
