Gillian had four times the number of toy bricks as Jenson. Gillian used all her bricks to build 11 identical planes. Jenson used all his bricks to build 5 identical planes. Gillian used 9 more bricks than Jenson for each plane. How many bricks did Jenson have?
| |
Gillian |
Jenson |
| Number |
11 |
5 |
| Value |
1 u + 9 |
1 u |
| Total value |
11 u + 99 |
5 u |
Number of toy bricks that Jenson used for each plane = 1 u
Number of toy bricks that Gillian used for each plane = 1 u + 9
Number of toy bricks that Jenson had
= 5 x 1 u
= 5 u
Number of toy bricks that Gillian had
= 11 x (1 u + 9)
= 11 u + 99
Gillian had four times the number of toy bricks as Jenson.
4 x 5 u = 11 u + 99
20 u = 11 u + 99
20 u - 11 u = 99
9 u = 99
1 u = 99 ÷ 9 = 11
Number of bricks that Jenson had
= 5 u
= 5 x 11
= 55
Answer(s): 55
