Emma had thrice the number of toy bricks as Dylan. Emma used all her bricks to build 10 identical ships. Dylan used all his bricks to build 4 identical ships. Emma used 9 more bricks than Dylan for each ship. How many bricks did Dylan have?
| |
Emma |
Dylan |
| Number |
10 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
4 u |
Number of toy bricks that Dylan used for each ship = 1 u
Number of toy bricks that Emma used for each ship = 1 u + 9
Number of toy bricks that Dylan had
= 4 x 1 u
= 4 u
Number of toy bricks that Emma had
= 10 x (1 u + 9)
= 10 u + 90
Emma had thrice the number of toy bricks as Dylan.
3 x 4 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 Dylan had
= 4 u
= 4 x 45
= 180
Answer(s): 180
