Jen had five times the number of plastic blocks as Ken. Jen used all her blocks to build 10 identical ships. Ken used all his blocks to build 4 identical ships. Jen used 9 more blocks than Ken for each ship. How many blocks did Ken have?
| |
Jen |
Ken |
| Number |
10 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
4 u |
Number of plastic blocks that Ken used for each ship = 1 u
Number of plastic blocks that Jen used for each ship = 1 u + 9
Number of plastic blocks that Ken had
= 4 x 1 u
= 4 u
Number of plastic blocks that Jen had
= 10 x (1 u + 9)
= 10 u + 90
Jen had five times the number of plastic blocks as Ken.
5 x 4 u = 10 u + 90
20 u = 10 u + 90
20 u - 10 u = 90
10 u = 90
1 u = 90 ÷ 10 = 9
Number of blocks that Ken had
= 4 u
= 4 x 9
= 36
Answer(s): 36
