Usha had five times the number of rubber bricks as Daniel. Usha used all her bricks to build 12 identical figurines. Daniel used all his bricks to build 3 identical figurines. Usha used 9 more bricks than Daniel for each figurine. How many bricks did Daniel have?
| |
Usha |
Daniel |
| Number |
12 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
3 u |
Number of rubber bricks that Daniel used for each figurine = 1 u
Number of rubber bricks that Usha used for each figurine = 1 u + 9
Number of rubber bricks that Daniel had
= 3 x 1 u
= 3 u
Number of rubber bricks that Usha had
= 12 x (1 u + 9)
= 12 u + 108
Usha had five times the number of rubber bricks as Daniel.
5 x 3 u = 12 u + 108
15 u = 12 u + 108
15 u - 12 u = 108
3 u = 108
1 u = 108 ÷ 3 = 36
Number of bricks that Daniel had
= 3 u
= 3 x 36
= 108
Answer(s): 108
