Zara had five times the number of rubber bricks as Vincent. Zara used all her bricks to build 12 identical planes. Vincent used all his bricks to build 3 identical planes. Zara used 9 more bricks than Vincent for each plane. How many bricks did Vincent have?
| |
Zara |
Vincent |
| Number |
12 |
3 |
| Value |
1 u + 9 |
1 u |
| Total value |
12 u + 108 |
3 u |
Number of rubber bricks that Vincent used for each plane = 1 u
Number of rubber bricks that Zara used for each plane = 1 u + 9
Number of rubber bricks that Vincent had
= 3 x 1 u
= 3 u
Number of rubber bricks that Zara had
= 12 x (1 u + 9)
= 12 u + 108
Zara had five times the number of rubber bricks as Vincent.
5 x 3 u = 12 u + 108
15 u = 12 u + 108
15 u - 12 u = 108
3 u = 108
1 u = 108 ÷ 3 = 36
Number of bricks that Vincent had
= 3 u
= 3 x 36
= 108
Answer(s): 108
