Question

A veterinary office pays PupFood $6 for each bag of dog food. a. If the office bought p bags of food, how much did they pay? Hint**- Consider writing an equation using the variable p b. If the office spent $72, how many bags of food did they purchase?

Answer 1

We can express the total payment as the product of the price of the bag, $6 per bag, and the number of bags, p (in this case, p is a variable that does not have an specific value yet).

Then, as p will have "bags" as unit, the product of the price ($/bag) and p (bag), will have "$" as unit.

a) We then can write:

`C=6\cdot p`

being C the total payment in $ and p the number of bags.

b) If the office spent $72, this means that C=72.

Then, we can find p as:

`\begin{gathered} C=6p=72 \\ 6p=72 \\ p=(72)/(6) \\ p=12\text{ bags} \end{gathered}`

Answer:

a) The total payment is equal to 6*p

b) They purchased 12 bags.