Bricklayer Ben places 42 bricks per hour. Bricklayer Bob places 36 bricks per hour. Bricklayer Bob worked twice as many hours as Bricklayer Ben, and the two of them placed a total of 1254 bricks. How many bricks did Bricklayer Ben place?
Bricklayer Ben placed a total of 462 bricks.
How to use equation to find the number of bricks placed?
Bricklayer Ben places 42 bricks per hour.
Bricklayer Bob places 36 bricks per hour.
Let
x = number of hours worked by Bricklayer Bob
y = number of hours worked by Bricklayer Ben
Therefore,
x = 2y
42y + 36x = 1254
42y + 36(2y) = 1254
42y + 72y = 1254
114y = 1254
y = 1254 / 114
y = 11
Hence, Bricklayer Ben placed a total of 42 × 11 = 462 bricks.