Anna had thrice the number of wooden bricks as Gabriel. Anna used all her bricks to build 9 identical ships. Gabriel used all his bricks to build 6 identical ships. Anna used 9 more bricks than Gabriel for each ship. How many bricks did Gabriel have?
| |
Anna |
Gabriel |
| Number |
9 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
6 u |
Number of wooden bricks that Gabriel used for each ship = 1 u
Number of wooden bricks that Anna used for each ship = 1 u + 9
Number of wooden bricks that Gabriel had
= 6 x 1 u
= 6 u
Number of wooden bricks that Anna had
= 9 x (1 u + 9)
= 9 u + 81
Anna had thrice the number of wooden bricks as Gabriel.
3 x 6 u = 9 u + 81
18 u = 9 u + 81
18 u - 9 u = 81
9 u = 81
1 u = 81 ÷ 9 = 9
Number of bricks that Gabriel had
= 6 u
= 6 x 9
= 54
Answer(s): 54
