Jane had four times the number of wooden bricks as Simon. Jane used all her bricks to build 7 identical planes. Simon used all his bricks to build 4 identical planes. Jane used 9 more bricks than Simon for each plane. How many bricks did Simon have?
| |
Jane |
Simon |
| Number |
7 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
7 u + 63 |
4 u |
Number of wooden bricks that Simon used for each plane = 1 u
Number of wooden bricks that Jane used for each plane = 1 u + 9
Number of wooden bricks that Simon had
= 4 x 1 u
= 4 u
Number of wooden bricks that Jane had
= 7 x (1 u + 9)
= 7 u + 63
Jane had four times the number of wooden bricks as Simon.
4 x 4 u = 7 u + 63
16 u = 7 u + 63
16 u - 7 u = 63
9 u = 63
1 u = 63 ÷ 9 = 7
Number of bricks that Simon had
= 4 u
= 4 x 7
= 28
Answer(s): 28
