To order certain plants from a catalog, it costs 3.00USD per plant, plus a 5 percent sales tax,...

Question

To order certain plants from a catalog, it costs 3.00USD per plant, plus a 5 percent sales tax, plus 6.95USD for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of 69.95USD, how many plants did Company C order?

GMAT Panda · Accepted Answer

Company C ordered 20 plants, so the answer is 20 (Option C). We first define an unknown for the number of plants Company C ordered. P = number of plants ordered by Company C We translate "plus a 5 percent sales tax" into multiplying the plant cost by 1.05. 1.05 3.00P We translate "plus 6.95USD for shipping and handling" into adding 6.95 and "at the total cost of 69.95USD" into an equality. 1.05 3.00P + 6.95 = 69.95 We simplify the multiplication by distributing the tax and combining like terms. 3.15P + 6.95 = 69.95 We subtract 6.95 from both sides to isolate the term with P. 3.15P = 63.00 We divide both sides by 3.15 to solve for P. P = 63.00/3.15 = 20

Explanation	Calculations	Help
$We first define an unknown for the number of plants Company C ordered.$	$P = number of plants ordered by Company C$
$We translate "plus a 5 percent sales tax" into multiplying the plant cost by 1.05.$	$1.05 \times 3.00 P$
$We translate "plus 6.95USD for shipping and handling" into adding 6.95 and "at the total cost of 69.95USD" into an equality.$	$1.05 \times 3.00 P + 6.95 = 69.95$
$We simplify the multiplication by distributing the tax and combining like terms.$	$3.15 P + 6.95 = 69.95$
$We subtract 6.95 from both sides to isolate the term with P .$	$3.15 P = 63.00$
$We divide both sides by 3.15 to solve for P .$	$P = \frac{63.00}{3.15} = 20$

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