Cathy had five times the number of toy bricks as Ben. Cathy used all her bricks to build 11 identical houses. Ben used all his bricks to build 4 identical houses. Cathy used 9 more bricks than Ben for each house. How many bricks did Ben have?
| |
Cathy |
Ben |
| Number |
11 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
11 u + 99 |
4 u |
Number of toy bricks that Ben used for each house = 1 u
Number of toy bricks that Cathy used for each house = 1 u + 9
Number of toy bricks that Ben had
= 4 x 1 u
= 4 u
Number of toy bricks that Cathy had
= 11 x (1 u + 9)
= 11 u + 99
Cathy had five times the number of toy bricks as Ben.
5 x 4 u = 11 u + 99
20 u = 11 u + 99
20 u - 11 u = 99
9 u = 99
1 u = 99 ÷ 9 = 11
Number of bricks that Ben had
= 4 u
= 4 x 11
= 44
Answer(s): 44
