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