Question

2. Raymond wants to buy a cake and 11.5 pounds of ham. The cake cost $15, and he spent $38 in total. In which equation does x represent the cost of the ham?

Answer 1

Let c be the cost of the cake and h the cost of the ham per pound. Then we have the following expression:

$c+11.5h=38$

since we know that the cake cost 15, then c=15, so the expression would be:

$15+11.5h=38$

therefore, we solve for h to find the equation tha represents the cost of the ham:

$\begin{gathered} 15+11.5h=38 \\ \Rightarrow11.5h=38-15=23 \\ \Rightarrow h=\frac{23}{11.5}=2 \\ h=2 \end{gathered}$

finally, we have that the cost of the ham per pound is $2