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