Barbara had four times the number of metallic blocks as Zeph. Barbara used all her blocks to build 10 identical ships. Zeph used all his blocks to build 3 identical ships. Barbara used 9 more blocks than Zeph for each ship. How many blocks did Zeph have?
| |
Barbara |
Zeph |
| Number |
10 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
3 u |
Number of metallic blocks that Zeph used for each ship = 1 u
Number of metallic blocks that Barbara used for each ship = 1 u + 9
Number of metallic blocks that Zeph had
= 3 x 1 u
= 3 u
Number of metallic blocks that Barbara had
= 10 x (1 u + 9)
= 10 u + 90
Barbara had four times the number of metallic blocks as Zeph.
4 x 3 u = 10 u + 90
12 u = 10 u + 90
12 u - 10 u = 90
2 u = 90
1 u = 90 ÷ 2 = 45
Number of blocks that Zeph had
= 3 u
= 3 x 45
= 135
Answer(s): 135
