Irene had four times the number of toy bricks as Michael. Irene used all her bricks to build 8 identical figurines. Michael used all his bricks to build 4 identical figurines. Irene used 9 more bricks than Michael for each figurine. How many bricks did Michael have?
| |
Irene |
Michael |
| Number |
8 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
4 u |
Number of toy bricks that Michael used for each figurine = 1 u
Number of toy bricks that Irene used for each figurine = 1 u + 9
Number of toy bricks that Michael had
= 4 x 1 u
= 4 u
Number of toy bricks that Irene had
= 8 x (1 u + 9)
= 8 u + 72
Irene had four times the number of toy bricks as Michael.
4 x 4 u = 8 u + 72
16 u = 8 u + 72
16 u - 8 u = 72
8 u = 72
1 u = 72 ÷ 8 = 9
Number of bricks that Michael had
= 4 u
= 4 x 9
= 36
Answer(s): 36
