The price of a television set on sale is $360. This is two thirds of the regular price. What is the regular price?

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Answer 1 · 2018-04-30T18:56:03

$ 540

Set up a ratio:

#"partial price"/"total price" = "partial fraction"/"total fraction"#

#360# = the partial price

#x# = the total price.

# 2/3 # = the partial fraction.

#1# = the total

# 360/x = (2/3) / 1 #

Solve for x by multiplying both sides by x

# 360/cancelx xx cancelx = (2/3)/1 xx x # this gives

# 360 = 2/3 xx x #

Multiply both sides by the inverse:

# 360 xx 3/2 = cancel(2/3 xx 3/2) xx x # this gives

# 540 = x #