Tina had four times the number of metallic blocks as Fabian. Tina used all her blocks to build 9 identical planes. Fabian used all his blocks to build 3 identical planes. Tina used 9 more blocks than Fabian for each plane. How many blocks did Fabian have?
| |
Tina |
Fabian |
| Number |
9 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
3 u |
Number of metallic blocks that Fabian used for each plane = 1 u
Number of metallic blocks that Tina used for each plane = 1 u + 9
Number of metallic blocks that Fabian had
= 3 x 1 u
= 3 u
Number of metallic blocks that Tina had
= 9 x (1 u + 9)
= 9 u + 81
Tina had four times the number of metallic blocks as Fabian.
4 x 3 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 Fabian had
= 3 u
= 3 x 27
= 81
Answer(s): 81
