Tiffany had five times the number of metallic blocks as Riordan. Tiffany used all her blocks to build 10 identical cars. Riordan used all his blocks to build 4 identical cars. Tiffany used 9 more blocks than Riordan for each car. How many blocks did Riordan have?
|
Tiffany |
Riordan |
Number |
10 |
4 |
Value |
1 u + 9 |
1 u |
Total value |
10 u + 90 |
4 u |
Number of metallic blocks that Riordan used for each car = 1 u
Number of metallic blocks that Tiffany used for each car = 1 u + 9
Number of metallic blocks that Riordan had
= 4 x 1 u
= 4 u
Number of metallic blocks that Tiffany had
= 10 x (1 u + 9)
= 10 u + 90
Tiffany had five times the number of metallic blocks as Riordan.
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 Riordan had
= 4 u
= 4 x 9
= 36
Answer(s): 36