Line M and Line N on an assembly line

A factory has two assembly lines, M and N, that make the same toy. On Monday, only assembly line M was functioning, and it made 900 toys.

On Tuesday, both assembly lines were functioning for the same amount of time. Line M made 300 toys per hour and line N made 480 toys per hour. Line N made as many toys on Tuesday as line M did over both days.

Write an equation that can be used to find the number of hours, t , that the assembly lines were functioning on Tuesday.

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On Monday
Line M made 900 toys

On Tuesday
Line M made 300 per hour
Line N made 480 per hour

480t = 300t + 900 {line N made as many on Tuesday as line M over both days}
180t = 900 {subtracted 300t from each side}
t = 5 {divided each side by 180}

5 hours
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