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