Xylia had thrice the number of toy blocks as Glen. Xylia used all her blocks to build 9 identical figurines. Glen used all his blocks to build 6 identical figurines. Xylia used 9 more blocks than Glen for each figurine. How many blocks did Glen have?
| |
Xylia |
Glen |
| Number |
9 |
6 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
6 u |
Number of toy blocks that Glen used for each figurine = 1 u
Number of toy blocks that Xylia used for each figurine = 1 u + 9
Number of toy blocks that Glen had
= 6 x 1 u
= 6 u
Number of toy blocks that Xylia had
= 9 x (1 u + 9)
= 9 u + 81
Xylia had thrice the number of toy blocks as Glen.
3 x 6 u = 9 u + 81
18 u = 9 u + 81
18 u - 9 u = 81
9 u = 81
1 u = 81 ÷ 9 = 9
Number of blocks that Glen had
= 6 u
= 6 x 9
= 54
Answer(s): 54
