Kylie had thrice the number of metallic blocks as Pierre. Kylie used all her blocks to build 9 identical houses. Pierre used all his blocks to build 4 identical houses. Kylie used 9 more blocks than Pierre for each house. How many blocks did Pierre have?
| |
Kylie |
Pierre |
| Number |
9 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
4 u |
Number of metallic blocks that Pierre used for each house = 1 u
Number of metallic blocks that Kylie used for each house = 1 u + 9
Number of metallic blocks that Pierre had
= 4 x 1 u
= 4 u
Number of metallic blocks that Kylie had
= 9 x (1 u + 9)
= 9 u + 81
Kylie had thrice the number of metallic blocks as Pierre.
3 x 4 u = 9 u + 81
12 u = 9 u + 81
12 u - 9 u = 81
3 u = 81
1 u = 81 ÷ 3 = 27
Number of blocks that Pierre had
= 4 u
= 4 x 27
= 108
Answer(s): 108
