Question

Given the cost of the following bulk ingredients, estimate the cost of on 8 inch taco.40 mission tortillas: $3.5812 pounds of ground beef:$35.287 pounds of refried beans: $6.785 pounds of shredded cheese: $12.98 138 Ounces of Medium Salsa: $8.97Each taco will have:1 tortilla.25 pounds of beef.125 pounds of beans1 ounce of cheese, 16 ounces in a pound or .0625 pounds of cheese 1 ounce of Salsa.Find the cost of each taco.

Answer 1

Given that rates of the ingredients, the cost per unit of each ingredients can be calculated as follows,

`\begin{gathered} \text{Cost of 1 Tortilla=}(3.58)/(40)=0.0895 \\ \text{Cost of ground beef per pound=}(35.28)/(12)=2.94 \\ \text{Cost of refried beans per pound=}(6.78)/(7)\approx0.96857 \\ \text{Cost of shredded cheese per pound=}(12.98)/(5)=2.596 \\ \text{Cost of medium salsa per pound=}(8.97)/(138*0.0625)=1.04 \end{gathered}`

Given the composition of each taco as, 1 tortilla, 0.25 pounds of beef, 0.125 pounds of beans, 0.0625 pounds of cheese, 1 ounce of Salsa.

Then the cost of taco (C) is calculated as the sum of the product of each ingredient per unit and number of units of that ingredient requires for 1 taco,

`\begin{gathered} \text{C=(0.0895}*1)+(2.94*0.25)+(0.96857*0.125)+(2.596*0.0625)+(1.04*0.0625) \\ C=0.0895+0.735+0.1211+0.16225+0.065 \\ C=1.17285 \end{gathered}`

Thus, the cost of each taco is $1.17285 approximately.