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