Olivia had four times the number of rubber blocks as Ian. Olivia used all her blocks to build 7 identical ships. Ian used all his blocks to build 4 identical ships. Olivia used 9 more blocks than Ian for each ship. How many blocks did Ian have?
| |
Olivia |
Ian |
| Number |
7 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
7 u + 63 |
4 u |
Number of rubber blocks that Ian used for each ship = 1 u
Number of rubber blocks that Olivia used for each ship = 1 u + 9
Number of rubber blocks that Ian had
= 4 x 1 u
= 4 u
Number of rubber blocks that Olivia had
= 7 x (1 u + 9)
= 7 u + 63
Olivia had four times the number of rubber blocks as Ian.
4 x 4 u = 7 u + 63
16 u = 7 u + 63
16 u - 7 u = 63
9 u = 63
1 u = 63 ÷ 9 = 7
Number of blocks that Ian had
= 4 u
= 4 x 7
= 28
Answer(s): 28
