During a storewide sale, a TV which usually sells for $450 is on sale for $360. A Stereo which usually sells for $600 is on sale for $480. What would be the sale price of a VCR which usually sells for $500?
The question to ask yourself is, "If the 450 item now costs 360, what percentage is that of the original price?"
450xwhat fraction = 360
fraction = 360/450 = 0.80 (so there was a 20% discount).
See if the other one is the same (I think it is if the usual selling price of 600 is on sale for 480.)
Then use that same fraction to multiply the 500 VCR to see what it would sell for.
thanks a million! it was the same for the stereo so i just multiplyed $500 by .8 and got $400 as the sale price.
That's correct.
To find the sale price of the VCR, you can use the concept of proportions.
First, calculate the amount of discount for the TV and the Stereo by subtracting the sale price from the regular price:
Discount for the TV = $450 - $360 = $90
Discount for the Stereo = $600 - $480 = $120
Next, find the discount rate for each item by dividing the discount amount by the regular price and expressing it as a decimal/fraction:
Discount rate for the TV = $90 / $450 = 0.2 or 2/10
Discount rate for the Stereo = $120 / $600 = 0.2 or 2/10
Now, you can determine the discount rate for the VCR. Use the same discount rate as the TV and the Stereo since they are both 20% off:
Discount rate for the VCR = 0.2 or 2/10
Finally, calculate the sale price of the VCR by multiplying the regular price by the discount rate and subtracting this amount from the regular price:
Sale price of the VCR = $500 - 0.2 * $500 = $500 - $100 = $400
Therefore, the sale price of the VCR would be $400 during the storewide sale.