Emma had thrice the number of rubber bricks as Wesley. Emma used all her bricks to build 10 identical ships. Wesley used all his bricks to build 5 identical ships. Emma used 9 more bricks than Wesley for each ship. How many bricks did Wesley have?
|
Emma |
Wesley |
Number |
10 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
10 u + 90 |
5 u |
Number of rubber bricks that Wesley used for each ship = 1 u
Number of rubber bricks that Emma used for each ship = 1 u + 9
Number of rubber bricks that Wesley had
= 5 x 1 u
= 5 u
Number of rubber bricks that Emma had
= 10 x (1 u + 9)
= 10 u + 90
Emma had thrice the number of rubber bricks as Wesley.
3 x 5 u = 10 u + 90
15 u = 10 u + 90
15 u - 10 u = 90
5 u = 90
1 u = 90 ÷ 5 = 18
Number of bricks that Wesley had
= 5 u
= 5 x 18
= 90
Answer(s): 90