two different brands of bricks were used to build ...

Question

two different brands of bricks were used to build a wall. Brand A costs $3 per brick, and Brand B costs $4 per brick. A total of 5000 bricks were used, and the total cost of the wall was $16382. How many of each type of brick was used?

Answer 1

3A + 4B = 16382

A + B = 5000

3A + 3B = 15000 subtract last from 1st equation

B = 1382 Brand B bricks

A = 5000-1382 = 3618 Brand A bricks

3(3618) + 4(1382) = 10854 + 5528 = $16382