Roshel had four times the number of metallic bricks as Dylan. Roshel used all her bricks to build 10 identical planes. Dylan used all his bricks to build 4 identical planes. Roshel used 9 more bricks than Dylan for each plane. How many bricks did Dylan have?
| |
Roshel |
Dylan |
| Number |
10 |
4 |
| Value |
1 u + 9 |
1 u |
| Total value |
10 u + 90 |
4 u |
Number of metallic bricks that Dylan used for each plane = 1 u
Number of metallic bricks that Roshel used for each plane = 1 u + 9
Number of metallic bricks that Dylan had
= 4 x 1 u
= 4 u
Number of metallic bricks that Roshel had
= 10 x (1 u + 9)
= 10 u + 90
Roshel had four times the number of metallic bricks as Dylan.
4 x 4 u = 10 u + 90
16 u = 10 u + 90
16 u - 10 u = 90
6 u = 90
1 u = 90 ÷ 6 = 15
Number of bricks that Dylan had
= 4 u
= 4 x 15
= 60
Answer(s): 60
