A store was offering 30 % off everything in the bike store . A boy bought a bike for $91 dollars. How much was the original price of the bike? please explain each step. We are studying proportions and percents. thanks
30% off is 70% on
70% is .70
.70 p = 91
p = 91/.7
To find the original price of the bike, we can use the concept of proportions and percents. Here's how to approach this problem step by step:
Step 1: Let's assume the original price of the bike is "x" dollars.
Step 2: The store is offering a 30% discount on everything, which means the boy paid 70% of the original price since he had a 30% discount.
Step 3: To calculate 70% of the original price, we can convert the percent to a decimal by dividing it by 100. So, 70% is equal to 70/100 = 0.7.
Step 4: We can set up a proportion using the amount paid and the original price:
Amount paid / Original price = Percent as a decimal
$91 / x = 0.7
Step 5: Now we can solve the proportion by cross-multiplying:
x * 0.7 = $91
Step 6: To isolate x, divide both sides of the equation by 0.7:
x = $91 / 0.7
Step 7: Calculate the value of x to find the original price of the bike:
x = $130.
Therefore, the original price of the bike was $130.