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The cost of purchasing each box of candy from a certain mail order catalog is v dollars per pound of candy, plus a shipping charge of h dollars. How many dollars does it cost to purchase 2 boxes of candy, one containing s pounds of candy and the other containing t pounds of candy, from this catalog?

Explanation	Calculations	Help
$We translate the per-pound cost for the first box by applying the cost formula where unit cost times quantity gives total cost, based on "v dollars per pound of candy" and s pounds in the first box.$	$Candy cost of first box = v \times s$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We add the shipping charge of h dollars to the candy cost for the first box based on "plus a shipping charge of h dollars" .$	$Cost of first box = v \times s + h$	Theory & Tactics Method Card TRANS1-C Click to view full details
$By the same logic, the cost for the second box containing t pounds of candy is the per-pound cost plus the shipping charge.$	$Cost of second box = v \times t + h$
$We sum the costs of the two boxes to get the total cost.$	$Total cost = (v \times s + h) + (v \times t + h)$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms by adding the two v -terms and the two h -terms.$	$Total cost = v (s + t) + 2 h$

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2 h + v (s + t)

The cost of purchasing each box of candy from a certain mail order catalog is v dollars per pound of candy, plus a shipping charge of h dollars. How many dollars does it cost to purchase 2 boxes of candy, one containing s pounds of candy and the other containing t pounds of candy, from this catalog?

Explanation	Calculations	Help
$We translate the per-pound cost for the first box by applying the cost formula where unit cost times quantity gives total cost, based on "v dollars per pound of candy" and s pounds in the first box.$	$Candy cost of first box = v \times s$	Theory & Tactics Method Card TRANS3-B Click to view full details
$We add the shipping charge of h dollars to the candy cost for the first box based on "plus a shipping charge of h dollars" .$	$Cost of first box = v \times s + h$	Theory & Tactics Method Card TRANS1-C Click to view full details
$By the same logic, the cost for the second box containing t pounds of candy is the per-pound cost plus the shipping charge.$	$Cost of second box = v \times t + h$
$We sum the costs of the two boxes to get the total cost.$	$Total cost = (v \times s + h) + (v \times t + h)$	Theory & Tactics Method Card TRANS1-C Click to view full details
$We combine like terms by adding the two v -terms and the two h -terms.$	$Total cost = v (s + t) + 2 h$

Scroll horizontally to view all columns

2 h + v (s + t)