## After 20% price reduction, a cordless phones sold for \$48. What was the phone’s price before the reduction?

Question

After 20% price reduction, a cordless phones sold for \$48. What was the phone’s price before the reduction?

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22 mins 2021-09-15T03:11:57+00:00 2 Answers 0

initial value of phone is \$ 60

Step-by-step explanation:

Step 1

let  x = initial price of phone before reduction

Step 2

write a equation in x which models the condition

after 20% reduction phone price is \$ 48

x- 0.2x = 48                                                   (1)

Step 3

solve the equation and answer the question

x(1-0.2) = 48

0.80x = 48

we factor out x at the left side

divide both side with 0.80 we get

0.80x/ 0.80 = 48 /0.80

x = 60

we found that initial value of phone is \$ 60

Step 4

we check the proposed solution into the original problem

we apply the reduction to initial price which we computed in equation 1 put value of x we get

60-0.20*60 = 60-12 = 48

hence we got the same price that is \$ 48 so solution is correct