Question

If machine A produces x widgets per hour, and machine B
produces 20 less than twice as many as A per hour, write
the expression for how many widgets both machines
produce in 6.5 hours.

Answer 1

The expression for the total Number of widgets produced by Machine A and B in 6.5 hours is 19.5x - 130

Number of widgets produced by each machine per hour :

• Machine A = x
• Machine B = 2x - 20

The total number of widgets produced by both machines per hour :

• Machine A + Machine B
• Total = x + 2x - 20 = 3x - 20

Total number of widgets produced in 6.5 hours :

• Total produced per hour × 6.5
• (3x - 20) × 6.5
• 19.5x - 130

Therefore, the expression for the total number of widgets produced in 6.5 hours is 19.5x - 130

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