Question

A local grocery store is giving out

a 5% coupon on every brand of one-
liter soda bottles. If the cost of soda
on sale ranges from $.50 to $1.97,
what's the original price range of the
one-liter soda bottles?​

Answer 1

The original price range of soda is $10 to $39.4

Explanation:

Given as :

The discount coupon applied on grocery = 5%

The cost of soda after discount coupon ranges = $0.50 to $1.97

Let the original price range of soda = $A

Now, According to question

discount on original price = the cost after discount

So, initial original price = x

5% of x = $0.50

0.05 × x = $0.50

∴ x =
`(0.50)/(0.05)`

i.e x = $10

Again final original price = y

5% of y = $1.97

0.05 × y = $1.97

∴ y =
`(1.97)/(0.05)`

i.e y = $39.4

So, The original price range of soda = $A = $10 to $39.4

Hence, The original price range of soda is $10 to $39.4 Answer