Question

In a chocolate storage jar, there are $4z^3$ chocolates. If the total cost of all the chocolates is $\$20z^5$, find the cost of each chocolate.

• A. $\$5z^2$
• B. $\$20z^2$
• C. $\$5z^3$

Answer 1

The correct option is A $\$5z^2$

$Costofeachchocolate=\frac{Total\cos t}{Totalnumberofchocolates}\Rightarrow Costofeachchocolate=\frac{20z^5}{4z^3}=\frac{4\times 5\times z^5}{4\times z^3}$Canceling the common term and substracting the exponent of unknown variable,
$Costofeachchocolate=5\times z^{(5-3)}=5z^2$