Gabby had four times the number of wooden bricks as Brandon. Gabby used all her bricks to build 10 identical figurines. Brandon used all his bricks to build 5 identical figurines. Gabby used 9 more bricks than Brandon for each figurine. How many bricks did Brandon have?
| |
Gabby |
Brandon |
| Number |
10 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
5 u |
Number of wooden bricks that Brandon used for each figurine = 1 u
Number of wooden bricks that Gabby used for each figurine = 1 u + 9
Number of wooden bricks that Brandon had
= 5 x 1 u
= 5 u
Number of wooden bricks that Gabby had
= 10 x (1 u + 9)
= 10 u + 90
Gabby had four times the number of wooden bricks as Brandon.
4 x 5 u = 10 u + 90
20 u = 10 u + 90
20 u - 10 u = 90
10 u = 90
1 u = 90 ÷ 10 = 9
Number of bricks that Brandon had
= 5 u
= 5 x 9
= 45
Answer(s): 45
