Lucy had thrice the number of rubber bricks as Tom. Lucy used all her bricks to build 12 identical figurines. Tom used all his bricks to build 5 identical figurines. Lucy used 9 more bricks than Tom for each figurine. How many bricks did Tom have?
|
Lucy |
Tom |
Number |
12 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
12 u + 108 |
5 u |
Number of rubber bricks that Tom used for each figurine = 1 u
Number of rubber bricks that Lucy used for each figurine = 1 u + 9
Number of rubber bricks that Tom had
= 5 x 1 u
= 5 u
Number of rubber bricks that Lucy had
= 12 x (1 u + 9)
= 12 u + 108
Lucy had thrice the number of rubber bricks as Tom.
3 x 5 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 Tom had
= 5 u
= 5 x 36
= 180
Answer(s): 180