Question

The first discount on a camera was 18%. The second discount was 20%. After these two discounts the price was $328. What was the original price?

Answer 1

$500

Step-by-step explanation:

We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.

Second Discount

20% off means we paid 80%. We know we paid $328 of some price.

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 80.

y=410

The price after the first discount was $410.

First Discount We will repeat the steps above with $410. 18% off means we paid 82%.

I can now cross-multiply by multiplying numerator and denominator from each ratio.

I now solve for y by dividing by 82.

y=500

The original price was $500.

Answer 2

$500

Explanation:

We can find the original price of the camera through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities.

Second Discount

20% off means we paid 80%. We know we paid $328 of some price.

`(80)/(100) =(328)/(y) \\`

I can now cross-multiply by multiplying numerator and denominator from each ratio.

`80y=100(328)\\80y=32800`

I now solve for y by dividing by 80.

`(80y)/(80) =(32800)/(80)`

y=410

The price after the first discount was $410.

First Discount

We will repeat the steps above with $410. 18% off means we paid 82%.

`(82)/(100)=(410)/(y)`

I can now cross-multiply by multiplying numerator and denominator from each ratio.

`82y=100(410)\\82y=41000`

I now solve for y by dividing by 82.

`(82y)/(82) =(41000)/(82)`

y=500

The original price was $500.