Olivia had four times the number of wooden bricks as Ryan. Olivia used all her bricks to build 12 identical cars. Ryan used all his bricks to build 4 identical cars. Olivia used 9 more bricks than Ryan for each car. How many bricks did Ryan have?
|
Olivia |
Ryan |
Number |
12 |
4 |
Value |
1 u + 9 |
1 u |
Total value |
12 u + 108 |
4 u |
Number of wooden bricks that Ryan used for each car = 1 u
Number of wooden bricks that Olivia used for each car = 1 u + 9
Number of wooden bricks that Ryan had
= 4 x 1 u
= 4 u
Number of wooden bricks that Olivia had
= 12 x (1 u + 9)
= 12 u + 108
Olivia had four times the number of wooden bricks as Ryan.
4 x 4 u = 12 u + 108
16 u = 12 u + 108
16 u - 12 u = 108
4 u = 108
1 u = 108 ÷ 4 = 27
Number of bricks that Ryan had
= 4 u
= 4 x 27
= 108
Answer(s): 108