Raeann had four times the number of rubber bricks as Ethan. Raeann used all her bricks to build 10 identical cars. Ethan used all his bricks to build 3 identical cars. Raeann used 9 more bricks than Ethan for each car. How many bricks did Ethan have?
| |
Raeann |
Ethan |
| Number |
10 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
3 u |
Number of rubber bricks that Ethan used for each car = 1 u
Number of rubber bricks that Raeann used for each car = 1 u + 9
Number of rubber bricks that Ethan had
= 3 x 1 u
= 3 u
Number of rubber bricks that Raeann had
= 10 x (1 u + 9)
= 10 u + 90
Raeann had four times the number of rubber bricks as Ethan.
4 x 3 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 Ethan had
= 3 u
= 3 x 45
= 135
Answer(s): 135
