Cindy had five times the number of toy bricks as Rael. Cindy used all her bricks to build 10 identical ships. Rael used all his bricks to build 5 identical ships. Cindy used 9 more bricks than Rael for each ship. How many bricks did Rael have?
| |
Cindy |
Rael |
| Number |
10 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
5 u |
Number of toy bricks that Rael used for each ship = 1 u
Number of toy bricks that Cindy used for each ship = 1 u + 9
Number of toy bricks that Rael had
= 5 x 1 u
= 5 u
Number of toy bricks that Cindy had
= 10 x (1 u + 9)
= 10 u + 90
Cindy had five times the number of toy bricks as Rael.
5 x 5 u = 10 u + 90
25 u = 10 u + 90
25 u - 10 u = 90
15 u = 90
1 u = 90 ÷ 15 = 6
Number of bricks that Rael had
= 5 u
= 5 x 6
= 30
Answer(s): 30
