Victoria had thrice the number of toy blocks as George. Victoria used all her blocks to build 10 identical houses. George used all his blocks to build 4 identical houses. Victoria used 9 more blocks than George for each house. How many blocks did George have?
| |
Victoria |
George |
| Number |
10 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
4 u |
Number of toy blocks that George used for each house = 1 u
Number of toy blocks that Victoria used for each house = 1 u + 9
Number of toy blocks that George had
= 4 x 1 u
= 4 u
Number of toy blocks that Victoria had
= 10 x (1 u + 9)
= 10 u + 90
Victoria had thrice the number of toy blocks as George.
3 x 4 u = 10 u + 90
12 u = 10 u + 90
12 u - 10 u = 90
2 u = 90
1 u = 90 ÷ 2 = 45
Number of blocks that George had
= 4 u
= 4 x 45
= 180
Answer(s): 180
