Presale Order A wireless store owner takes presale orders...

Name: Problem 63, Chapter 11: Precalculus
Uploaded: 2021-06-28T13:11:57-08:00
Duration: 4 min 26 s
Channel: Andrija Isakov
Description: Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He gets 340 preorders for the smartphone and 250 preorders for the tablet. The combined value of the preorders is 270,500 dollar . If the price of a smartphone and tablet together is 965 dollar how much does each device cost?

Presale Order A wireless store owner takes presale orders for a new smartphone and tablet. He gets 340 preorders for the smartphone and 250 preorders for the tablet. The combined value of the preorders is 270,500 dollar . If the price of a smartphone and tablet together is 965 dollar how much does each device cost?

Key Concepts

Algebraic Modeling

Algebraic modeling is the process of representing real-world situations with algebraic expressions, equations, or systems of equations. This technique translates practical problems into mathematical language, allowing for systematic manipulation and solution, which is particularly useful in contexts where relationships between quantities need to be analyzed and resolved.

System of Linear Equations

A system of linear equations consists of multiple linear equations involving the same set of variables. Solving such systems means finding values for the variables that satisfy all the equations simultaneously. This concept is key in many applications where multiple constraints or conditions must be met, offering a structured approach to determine unknown quantities.

Solving Systems of Equations

Solving systems of equations involves methods such as substitution or elimination to reduce the system to a simpler form where the variables can be directly computed. These methods are fundamental in algebra and useful for determining individual unknowns when given aggregate relationships, thereby allowing the extraction of specific numerical values from general expressions.

Transcript

00:01 The topic of this question is systems of linear equations.

00:07 In this question, we are talking about a store that sells smartphones and tablets.

00:13 There is a new type of smartphone and a new type of tablet out, so they are taking pre -ordered or pre -sale orders.

00:23 In total, the price of a tablet and a smartphone together, or one tablet with one smartphone, costs $965.

00:35 There are 340 pre -orders placed for the smartphone and 250 pre -orders for tablets.

00:50 We want to find the price of a smartphone and the price of a tablet using this information.

00:57 And one other piece.

00:58 Not the total value of the orders is $270 ,500 altogether from the pre -orders.

01:09 Okay, so consider what we know and what we don't know, what we need to find.

01:15 We want to find the price of a smartphone, a single smartphone, and the price of a single tablet.

01:22 So in total, we know that this adds up to those two numbers add up to 965.

01:27 So why don't we give numbers to those or variable names, s and t, as for the price of a smartphone and t for the price of a tablet, so that we can create equations to solve for these two.

01:39 And then find the numbers that work for this situation.

01:49 So we already said that the sum of s and t, the price of a tablet and the price of a smartphone, is 965.

01:58 So there is one equation that we need so that we can solve for s &t, but we also need one more equation because we have two unknown variables.

02:08 And that comes from this row of information, the pre -orders...

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