Zara had twice the number of toy bricks as Cole. Zara used all her bricks to build 8 identical figurines. Cole used all his bricks to build 6 identical figurines. Zara used 9 more bricks than Cole for each figurine. How many bricks did Cole have?
| |
Zara |
Cole |
| Number |
8 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
6 u |
Number of toy bricks that Cole used for each figurine = 1 u
Number of toy bricks that Zara used for each figurine = 1 u + 9
Number of toy bricks that Cole had
= 6 x 1 u
= 6 u
Number of toy bricks that Zara had
= 8 x (1 u + 9)
= 8 u + 72
Zara had twice the number of toy bricks as Cole.
2 x 6 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 Cole had
= 6 u
= 6 x 18
= 108
Answer(s): 108
