Vanessa had twice the number of metallic bricks as Neave. Vanessa used all her bricks to build 7 identical houses. Neave used all his bricks to build 5 identical houses. Vanessa used 9 more bricks than Neave for each house. How many bricks did Neave have?
|
Vanessa |
Neave |
Number |
7 |
5 |
Value |
1 u + 9 |
1 u |
Total value |
7 u + 63 |
5 u |
Number of metallic bricks that Neave used for each house = 1 u
Number of metallic bricks that Vanessa used for each house = 1 u + 9
Number of metallic bricks that Neave had
= 5 x 1 u
= 5 u
Number of metallic bricks that Vanessa had
= 7 x (1 u + 9)
= 7 u + 63
Vanessa had twice the number of metallic bricks as Neave.
2 x 5 u = 7 u + 63
10 u = 7 u + 63
10 u - 7 u = 63
3 u = 63
1 u = 63 ÷ 3 = 21
Number of bricks that Neave had
= 5 u
= 5 x 21
= 105
Answer(s): 105