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Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch...

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Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch...

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Alan buys 4 TVs, a 26 inch, a 28 inch, a 30 inch, and a 32 inch, for his new house. Each TV costs $200 more than the size below it. Alan spends a total of $3,400. How much would he have spent if he had bought only the 28 inch and 30 inch TVs?

A. 850
B. 1,100
C. 1,700
D. 2,550
E. 3,400

The OA is C.

I'm confused with this PS question. Experts, any suggestion about how to solve it? Thanks in advance.

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Hello LUANDATO.

Let's take a look at your question.

TV1= x $, TV2= x+200 $, TV3= x+400 $ and TV4= x+600 $.

We now that $$3400=x+\left(x+200\right)+\left(x+400\right)+\left(x+600\right)=4x+1200 $$ $$3400=4x+1200\ \Leftrightarrow\ 4x=2200\ \Leftrightarrow\ x=550.$$ Therefore, the 28 inch Tv cost 750$ and the 30 inch Tv cost 950$.

Hence, if Alan had bought only the 28 inch and 30 inch TVs, he had spent only 750$+950$=1700$.

This is why the correct answer is the option C.

I'm available if you'd like a follow-up.

Regards.

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