Sarah had four times the number of toy bricks as Valen. Sarah used all her bricks to build 8 identical figurines. Valen used all his bricks to build 3 identical figurines. Sarah used 9 more bricks than Valen for each figurine. How many bricks did Valen have?
| |
Sarah |
Valen |
| Number |
8 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
3 u |
Number of toy bricks that Valen used for each figurine = 1 u
Number of toy bricks that Sarah used for each figurine = 1 u + 9
Number of toy bricks that Valen had
= 3 x 1 u
= 3 u
Number of toy bricks that Sarah had
= 8 x (1 u + 9)
= 8 u + 72
Sarah had four times the number of toy bricks as Valen.
4 x 3 u = 8 u + 72
12 u = 8 u + 72
12 u - 8 u = 72
4 u = 72
1 u = 72 ÷ 4 = 18
Number of bricks that Valen had
= 3 u
= 3 x 18
= 54
Answer(s): 54
