Elyse had twice the number of metallic bricks as Eric. Elyse used all her bricks to build 8 identical houses. Eric used all his bricks to build 5 identical houses. Elyse used 9 more bricks than Eric for each house. How many bricks did Eric have?
|
Elyse |
Eric |
Number |
8 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
8 u + 72 |
5 u |
Number of metallic bricks that Eric used for each house = 1 u
Number of metallic bricks that Elyse used for each house = 1 u + 9
Number of metallic bricks that Eric had
= 5 x 1 u
= 5 u
Number of metallic bricks that Elyse had
= 8 x (1 u + 9)
= 8 u + 72
Elyse had twice the number of metallic bricks as Eric.
2 x 5 u = 8 u + 72
10 u = 8 u + 72
10 u - 8 u = 72
2 u = 72
1 u = 72 ÷ 2 = 36
Number of bricks that Eric had
= 5 u
= 5 x 36
= 180
Answer(s): 180