Esther had four times the number of plastic blocks as Ryan. Esther used all her blocks to build 12 identical ships. Ryan used all his blocks to build 6 identical ships. Esther used 9 more blocks than Ryan for each ship. How many blocks did Ryan have?
| |
Esther |
Ryan |
| Number |
12 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
6 u |
Number of plastic blocks that Ryan used for each ship = 1 u
Number of plastic blocks that Esther used for each ship = 1 u + 9
Number of plastic blocks that Ryan had
= 6 x 1 u
= 6 u
Number of plastic blocks that Esther had
= 12 x (1 u + 9)
= 12 u + 108
Esther had four times the number of plastic blocks as Ryan.
4 x 6 u = 12 u + 108
24 u = 12 u + 108
24 u - 12 u = 108
12 u = 108
1 u = 108 ÷ 12 = 9
Number of blocks that Ryan had
= 6 u
= 6 x 9
= 54
Answer(s): 54
