Raeann had four times the number of wooden blocks as Xavier. Raeann used all her blocks to build 9 identical ships. Xavier used all his blocks to build 3 identical ships. Raeann used 9 more blocks than Xavier for each ship. How many blocks did Xavier have?
| |
Raeann |
Xavier |
| Number |
9 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
9 u + 81 |
3 u |
Number of wooden blocks that Xavier used for each ship = 1 u
Number of wooden blocks that Raeann used for each ship = 1 u + 9
Number of wooden blocks that Xavier had
= 3 x 1 u
= 3 u
Number of wooden blocks that Raeann had
= 9 x (1 u + 9)
= 9 u + 81
Raeann had four times the number of wooden blocks as Xavier.
4 x 3 u = 9 u + 81
12 u = 9 u + 81
12 u - 9 u = 81
3 u = 81
1 u = 81 ÷ 3 = 27
Number of blocks that Xavier had
= 3 u
= 3 x 27
= 81
Answer(s): 81
