Question

An 8oz cup of coffee has about 184 mg of caffeine. This is 5 times much caffeine as in a 12 oz soft drink. Write and solve an equation to find about how caffeine is in a 12 oz caffeinated soft drink. Round your answer to the nearest whole number. (Please explain how to do this problem thanks!)

Answer 1

8 oz = 184 mg of caffeine
12 oz = 1/5 of 184 mg of caffeine

Let's say 12oz is x:

x = 184 * 1/5 or x = 184 / 5
x= 36,8
x = 37 (after rounding to the nearest whole number)

Answer: There are about 37 mg of caffeine in a 12 oz soft drink.

Answer 2

Let x be the quantity of caffeine in 12 oz of soft drink (in mg )

Given,

The quantity of caffeine in 8 oz cup of coffee = 184 mg,

According to the question,

5 times of x = caffeine in 8 oz cup of coffee,

⇒ 5x = 184

Which is the required equation,

By solving it,

`x=(184)/(5)`

⇒ x = 36.8 ≈ 37,

Thus, the caffeine in 12 oz of soft drink is 37 mg.