Usha had thrice the number of metallic bricks as Owen. Usha used all her bricks to build 8 identical figurines. Owen used all his bricks to build 4 identical figurines. Usha used 9 more bricks than Owen for each figurine. How many bricks did Owen have?
| |
Usha |
Owen |
| Number |
8 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
4 u |
Number of metallic bricks that Owen used for each figurine = 1 u
Number of metallic bricks that Usha used for each figurine = 1 u + 9
Number of metallic bricks that Owen had
= 4 x 1 u
= 4 u
Number of metallic bricks that Usha had
= 8 x (1 u + 9)
= 8 u + 72
Usha had thrice the number of metallic bricks as Owen.
3 x 4 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 Owen had
= 4 u
= 4 x 18
= 72
Answer(s): 72
