Lynn had twice the number of plastic blocks as Japheth. Lynn used all her blocks to build 8 identical cars. Japheth used all his blocks to build 6 identical cars. Lynn used 9 more blocks than Japheth for each car. How many blocks did Japheth have?
| |
Lynn |
Japheth |
| Number |
8 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
8 u + 72 |
6 u |
Number of plastic blocks that Japheth used for each car = 1 u
Number of plastic blocks that Lynn used for each car = 1 u + 9
Number of plastic blocks that Japheth had
= 6 x 1 u
= 6 u
Number of plastic blocks that Lynn had
= 8 x (1 u + 9)
= 8 u + 72
Lynn had twice the number of plastic blocks as Japheth.
2 x 6 u = 8 u + 72
12 u = 8 u + 72
12 u - 8 u = 72
4 u = 72
1 u = 72 ÷ 4 = 18
Number of blocks that Japheth had
= 6 u
= 6 x 18
= 108
Answer(s): 108
