Question

Bruce wants to have a laptop case shipped to his office. Company A charges a $10 shipping fee and $1 per pound. Company B charges a $12 shipping fee and $0.50 per pound. For how many pounds is the cost of both shipping companies the same?

Equation x + 10 = .5x + 12
(Show your work)

Answer 1

For 4 pounds, the cost of both shipping companies the same.

• The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.
• In the unitary method, the value of a unit quantity is determined before the values of other units are determined. Direct variation and inverse variation are the two different sorts of variations it has.
• When there is a direct variation, an increase or decrease in one quantity will result in an equivalent rise or fall in the other. For instance, a rise in the quantity of commodities will result in higher costs.

Let the number of pounds be x.

Now, for x pounds, company 1 will be charging $x with shipping fee $10.

Again, for x pounds, company 2 will be charging $0.5x with shipping fee $12.

Then, the linear equation for the costing of both the companies for x pounds is,

x + 10 = 0.5x + 12

Or, 0.5x = 2

Or, x = $\frac{2}{0.5} = 4$

Hence, for 4 pounds, the cost of both shipping companies the same.

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