Question

best company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. the cup expert company sells personalized mugs for $22 each plus a fixed fee for $14 for shipping and handling for the entire order. how many personalized mugs would a customer have to purchase for the total cost of each company to be the same?

mugs

Explanation:

Identify the unknown variable

Using the Variable Identification knowledge point
Let \(x\) represent the number of personalized mugs purchased.

Model the cost for Best Company

Using the Linear Equation Modeling and Algebraic Translation knowledge points

$$ C_{\text{Best}} = 18x + 26 $$

Model the cost for Cup Expert Company

Using the Linear Equation Modeling and Algebraic Translation knowledge points

$$ C_{\text{Cup Expert}} = 22x + 14 $$

Set the costs equal and solve for x

Using the System of Equations knowledge point

$$
LATEXBLOCK0
$$

Answer:

Best Company sells personalized mugs for $18 each plus a fixed fee of $26 for shipping and handling for the entire order. The Cup Expert Company sells personalized mugs for $22 each plus a fixed fee of $14 for shipping and handling for the entire order. How many personalized mugs would a customer have to purchase for the total cost of each company to be the same?

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