Marion had four times the number of metallic bricks as Ethan. Marion used all her bricks to build 7 identical figurines. Ethan used all his bricks to build 4 identical figurines. Marion used 9 more bricks than Ethan for each figurine. How many bricks did Ethan have?
| |
Marion |
Ethan |
| Number |
7 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
7 u + 63 |
4 u |
Number of metallic bricks that Ethan used for each figurine = 1 u
Number of metallic bricks that Marion used for each figurine = 1 u + 9
Number of metallic bricks that Ethan had
= 4 x 1 u
= 4 u
Number of metallic bricks that Marion had
= 7 x (1 u + 9)
= 7 u + 63
Marion had four times the number of metallic bricks as Ethan.
4 x 4 u = 7 u + 63
16 u = 7 u + 63
16 u - 7 u = 63
9 u = 63
1 u = 63 ÷ 9 = 7
Number of bricks that Ethan had
= 4 u
= 4 x 7
= 28
Answer(s): 28
