Raeann had four times the number of metallic blocks as Peter. Raeann used all her blocks to build 11 identical cars. Peter used all his blocks to build 5 identical cars. Raeann used 9 more blocks than Peter for each car. How many blocks did Peter have?
| |
Raeann |
Peter |
| Number |
11 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
11 u + 99 |
5 u |
Number of metallic blocks that Peter used for each car = 1 u
Number of metallic blocks that Raeann used for each car = 1 u + 9
Number of metallic blocks that Peter had
= 5 x 1 u
= 5 u
Number of metallic blocks that Raeann had
= 11 x (1 u + 9)
= 11 u + 99
Raeann had four times the number of metallic blocks as Peter.
4 x 5 u = 11 u + 99
20 u = 11 u + 99
20 u - 11 u = 99
9 u = 99
1 u = 99 ÷ 9 = 11
Number of blocks that Peter had
= 5 u
= 5 x 11
= 55
Answer(s): 55
