Gem had four times the number of metallic blocks as Daniel. Gem used all her blocks to build 10 identical figurines. Daniel used all his blocks to build 5 identical figurines. Gem used 9 more blocks than Daniel for each figurine. How many blocks did Daniel have?
| |
Gem |
Daniel |
| Number |
10 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
5 u |
Number of metallic blocks that Daniel used for each figurine = 1 u
Number of metallic blocks that Gem used for each figurine = 1 u + 9
Number of metallic blocks that Daniel had
= 5 x 1 u
= 5 u
Number of metallic blocks that Gem had
= 10 x (1 u + 9)
= 10 u + 90
Gem had four times the number of metallic blocks as Daniel.
4 x 5 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 Daniel had
= 5 u
= 5 x 9
= 45
Answer(s): 45
