Shannon had five times the number of wooden bricks as Pierre. Shannon used all her bricks to build 12 identical figurines. Pierre used all his bricks to build 6 identical figurines. Shannon used 9 more bricks than Pierre for each figurine. How many bricks did Pierre have?
| |
Shannon |
Pierre |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of wooden bricks that Pierre used for each figurine = 1 u
Number of wooden bricks that Shannon used for each figurine = 1 u + 9
Number of wooden bricks that Pierre had
= 6 x 1 u
= 6 u
Number of wooden bricks that Shannon had
= 12 x (1 u + 9)
= 12 u + 108
Shannon had five times the number of wooden bricks as Pierre.
5 x 6 u = 12 u + 108
30 u = 12 u + 108
30 u - 12 u = 108
18 u = 108
1 u = 108 ÷ 18 = 6
Number of bricks that Pierre had
= 6 u
= 6 x 6
= 36
Answer(s): 36
