Question

A wireless store owner takes presale orders for a new smartphone and tablet. He gets 160 preorders for the smartphone and 330 orders for the tablet. The combined sale of the preorders is

$242,100. If the price of a smartphone and a tablet together is $1,120, find the cost of one smartphone and the cost of one tablet.
What is the cost of one smartphone? $
What is the cost of one tablet? $

Answer 1

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Let's assume the cost of one smartphone is 'x' dollars and the cost of one tablet is 'y' dollars.

According to the given information:

Number of smartphone preorders = 160

Number of tablet preorders = 330

Total sale from preorders = $242,100

We can set up the following equations based on the given information:

Equation 1: x + y = $1,120 (cost of one smartphone and one tablet together)

Equation 2: 160x + 330y = $242,100 (total sale from preorders)

To solve these equations, we can use the substitution method.

From Equation 1, we can express x in terms of y:

x = $1,120 - y

Substituting this value of x into Equation 2:

160($1,120 - y) + 330y = $242,100

Expanding and simplifying the equation:

179,200 - 160y + 330y = $242,100

170y = $62,900

y ≈ $370

So, the cost of one tablet is approximately $370.

Substituting this value of y back into Equation 1 to find x:

x + $370 = $1,120

x = $1,120 - $370

x = $750

Therefore, the cost of one smartphone is $750.

To summarize:

The cost of one smartphone is $750.

The cost of one tablet is $370.