Question

samuel puchased half a dozen cupcakes for $4.25. Which expression could be used to determine the price for 34 cupcakes?a. 4.25 divided by 0.5x34b. 4.25 divided by 6x34c. 6 divided by 4.25x34d. 0.5 divided by 4.25x24

Answer 1

Solution:

Given that Samuel purchased half a dozen cupcakes for $4.25, this implies that

$6\text{ cupcakes}\Rightarrow\ \text{4.25}$

To determine the price for 34 cupcakes, let y represent the price for 34 cupcakes.

This implies that

$34\text{ cupcakes}\Rightarrow\ y$

To solve for y, we have

$\begin{gathered} 6\text{ cupcakes}\Rightarrow\ \text{4.25} \\ 34\text{ cupcakes}\Rightarrow\ \text{y} \\ cross-multiply, \\ 6\text{ cupcakes}\times\ \text{y=34 cupcakes}\times\ \text{4.25} \\ divid\text{e both sides by 6 cupcakes,} \\ \frac{6\text{ }cupcakes\times\operatorname{\ }y}{6\text{ cupcakes}}\text{=}\frac{34\text{ }cupcakes\times\operatorname{\ }4.25}{6\text{ cupcakes}} \\ \Rightarrow y=\frac{4.25}{6}\times34 \end{gathered}$

Hence, the expression that could be used to determine the price for 34 cupcakes is 4.25 divided by 6 times 34