Gillian had thrice the number of wooden bricks as Tom. Gillian used all her bricks to build 10 identical cars. Tom used all his bricks to build 4 identical cars. Gillian used 9 more bricks than Tom for each car. How many bricks did Tom have?
|
Gillian |
Tom |
Number |
10 |
4 |
Value |
1 u + 9 |
1 u |
Total value |
10 u + 90 |
4 u |
Number of wooden bricks that Tom used for each car = 1 u
Number of wooden bricks that Gillian used for each car = 1 u + 9
Number of wooden bricks that Tom had
= 4 x 1 u
= 4 u
Number of wooden bricks that Gillian had
= 10 x (1 u + 9)
= 10 u + 90
Gillian had thrice the number of wooden bricks as Tom.
3 x 4 u = 10 u + 90
12 u = 10 u + 90
12 u - 10 u = 90
2 u = 90
1 u = 90 ÷ 2 = 45
Number of bricks that Tom had
= 4 u
= 4 x 45
= 180
Answer(s): 180