Wendy had four times the number of metallic blocks as Ryan. Wendy used all her blocks to build 12 identical figurines. Ryan used all his blocks to build 4 identical figurines. Wendy used 9 more blocks than Ryan for each figurine. How many blocks did Ryan have?
| |
Wendy |
Ryan |
| Number |
12 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
4 u |
Number of metallic blocks that Ryan used for each figurine = 1 u
Number of metallic blocks that Wendy used for each figurine = 1 u + 9
Number of metallic blocks that Ryan had
= 4 x 1 u
= 4 u
Number of metallic blocks that Wendy had
= 12 x (1 u + 9)
= 12 u + 108
Wendy had four times the number of metallic blocks as Ryan.
4 x 4 u = 12 u + 108
16 u = 12 u + 108
16 u - 12 u = 108
4 u = 108
1 u = 108 ÷ 4 = 27
Number of blocks that Ryan had
= 4 u
= 4 x 27
= 108
Answer(s): 108
