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On Monday at work, David produces $w$ widgets per hour, and works for $t$ hours. Exhausted by this work, on Tuesday, he decides to work for $2$ fewer hours, but manages to produce $4$ additional widgets per hour. If $w = 2t$, how many more widgets did David produce on Monday than on Tuesday?

Respuesta :

TaeKwonDoIsDead

Answer:

8 more widgets

Step-by-step explanation:

Monday:

t hours work AT w widgets per hour

So,

total number of widgets = wt

Tuesday:

2 fewer hours than monday, so

hours worked = t - 2

Per hour widget production is 4 more than Monday so:

per hour widget = w + 4

Total number of widgets = [tex](t-2)(w+4)=wt+4t-2w-8[/tex]

Monday he produced more, so amount more is:

[tex]wt-[wt+4t-2w-8]\\wt-wt-4t+2w+8\\-4t+2w+8[/tex]

Given, w = 2t, we have:

[tex]-4t+2w+8\\-4t+2(2t)+8\\-4t+4t+8\\=8[/tex]

Thus,

8 more widgets were produced

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