Barbara had five times the number of toy bricks as Riordan. Barbara used all her bricks to build 10 identical figurines. Riordan used all his bricks to build 3 identical figurines. Barbara used 9 more bricks than Riordan for each figurine. How many bricks did Riordan have?
| |
Barbara |
Riordan |
| Number |
10 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
3 u |
Number of toy bricks that Riordan used for each figurine = 1 u
Number of toy bricks that Barbara used for each figurine = 1 u + 9
Number of toy bricks that Riordan had
= 3 x 1 u
= 3 u
Number of toy bricks that Barbara had
= 10 x (1 u + 9)
= 10 u + 90
Barbara had five times the number of toy bricks as Riordan.
5 x 3 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 Riordan had
= 3 u
= 3 x 18
= 54
Answer(s): 54
