Cindy had four times the number of toy bricks as Peter. Cindy used all her bricks to build 10 identical cars. Peter used all his bricks to build 5 identical cars. Cindy used 9 more bricks than Peter for each car. How many bricks did Peter have?
| |
Cindy |
Peter |
| Number |
10 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
5 u |
Number of toy bricks that Peter used for each car = 1 u
Number of toy bricks that Cindy used for each car = 1 u + 9
Number of toy bricks that Peter had
= 5 x 1 u
= 5 u
Number of toy bricks that Cindy had
= 10 x (1 u + 9)
= 10 u + 90
Cindy had four times the number of toy bricks as Peter.
4 x 5 u = 10 u + 90
20 u = 10 u + 90
20 u - 10 u = 90
10 u = 90
1 u = 90 ÷ 10 = 9
Number of bricks that Peter had
= 5 u
= 5 x 9
= 45
Answer(s): 45
