At a birthday party for 20 people each person could order a hot dog or chips. If there were four times as many hot dogs as chips ordered, calculate how many hot dogs and how many chips were bought.

Call the amount of chips ordered : x

-> The amount of hot dogs ordered : 4x

Since there are a total of 20 chips and hot dogs orders, x + 4x = 20 -> 5x = 20

-> x = 20/5 = 4
-> 4x = 4 x 4 = 16

So, there are 16 hot dogs and 4 chips ordered.

16 hot dogs

4 chips

Step-by-step explanation:

Let h = number of hot dogs ordered

Let c = number of chips ordered

Given:

⇒ h + c = 20

⇒ h = 4c

Substitute  h = 4c  into  h + c = 20  and solve for c:

⇒ 4c + c = 20

⇒ 5c = 20

⇒ c = 4

Substitute found value for c into  h = 4c  and solve for h:

⇒ h = 4 × 4

⇒ h = 16

Therefore, 16 hot dogs and 4 chips were ordered.