A percent is a portion of 100. If we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

$\frac{75}{100} =\frac{34.50}{y}$

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

$75y=100(34.50)\\75y=3450$

I now solve for y by dividing by 75.

$\frac{75y}{75} =\frac{3450}{75} \\y= 46....$

The original price was $46.

5 0

3 years ago

3/5 of a number decreased by one is 23. What is the number?

garri49 [273]

You can set up an equation based off of the information given:

x represents the unknown number

3/5x - 1 = 23

add 1 to both sides to isolate the 3/5x

3/5x = 24

divide both sides by 3/5 to solve for x

x = 120/3

120/3 can be simplified into 40

Final answer: x = 40

5 0

3 years ago

30 POINTS HELPPPPPP

riadik2000 [5.3K]

Answer:

$20.40

Step-by-step explanation:

4 0

3 years ago

13. Daniel bought some oranges and x apples. He bought twice as many oranges as apples. Each apple

valentinak56 [21]

Step-by-step explanation:

multiply

when 1 number is given and many is asked means multiply

4 0

2 years ago