Question

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.​

Answer 1

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.

Answer 2

16 hot dogs

4 chips

Explanation:

Let h = number of hot dogs ordered

Let c = number of chips ordered

Given:

• Total number of orders = 20
• Four times as many hot dogs as chips ordered

⇒ 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.