Question

A school is organizing a cookout where hotdogs will be served. The hotdogs come in small packs and large packs. Each small pack has 6 hotdogs and each large pack has 12 hotdogs. The school bought 13 packs of hotdogs that have a total of 102 hotdogs. How many small packs sold and how many large packs sold

Answer 1

9 small packs sold and 4 large packs sold

Explanation:

Let's S be the number of small pack and L be the number of large pack. We have

S + L = 13 packs as the total number of hotdog packs

6S + 12L = 102 packs as the total number of hotdogs

We can divide both sides of the equation above by 6 then

S + 2L = 17

The subtract the S+L = 13 equation from this equation we get

S + 2L - S - L = 17 - 13 = 4

L = 4 packs

then S = 13 - 4 = 9 packs

So there were 9 small packs sold and 4 large packs sold